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Finding the Fourth Proportional to 724.80, 1,000.32 and 414.24

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Solution

The fourth proportional to 724.80, 1,000.32 and 414.24 is: 571.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.80 : 1,000.32 = 414.24 : x
  2. Step 2: Convert to fraction form
    724.80/1,000.32 = 414.24/x
  3. Step 3: Cross multiply
    724.80x = 1,000.32 × 414.24
  4. Step 4: Simplify right side
    724.80x = 414,372.56
  5. Step 5: Solve for x
    x = 414,372.56/724.80
  6. Step 6: Final answer
    x = 571.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.