SAT Ratio & Proportion: A Guide to Real-World Modeling

Ratios and proportions are a core part of the SAT's "Problem Solving and Data Analysis" domain. Success depends on your ability to translate real-world scenarios into mathematical models. This guided path will teach you the fundamental skills and strategies to master these questions.

Section 1: The Fundamentals

The Foundation: What is a Ratio?

Start with the core definition and walk through a step-by-step example of how to simplify ratios to their lowest terms.

Core Application: Solving with Multipliers

Learn the fundamental method for solving word problems by representing unknown values with a common multiplier 'x'.

Section 2: Core SAT Problem-Solving Techniques

Distributing Totals & Finding Parts

Master the methods for distributing a total amount into a given ratio and for working backwards to find the total from a single part.

Proportion: Solving for the Missing Value

A critical SAT skill. Practice finding the "fourth proportional" in different scenarios with this interactive trainer.

Key SAT Skill: Modeling Scenarios

Learn the step-by-step process of translating a real-world word problem (like map scales or recipes) into a solvable proportion.

Linking Ratios with a Common Element

Learn the technique for combining two separate ratios (e.g., a:b and b:c) into a single, continuous ratio (a:b:c).

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