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Finding the Fourth Proportional to 742.32, 1,024.53 and 709.53

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Solution

The fourth proportional to 742.32, 1,024.53 and 709.53 is: 979.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.32 : 1,024.53 = 709.53 : x
  2. Step 2: Convert to fraction form
    742.32/1,024.53 = 709.53/x
  3. Step 3: Cross multiply
    742.32x = 1,024.53 × 709.53
  4. Step 4: Simplify right side
    742.32x = 726,934.77
  5. Step 5: Solve for x
    x = 726,934.77/742.32
  6. Step 6: Final answer
    x = 979.27

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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.