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Finding the Fourth Proportional to 725.27, 1,002.01 and 476.49

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Solution

The fourth proportional to 725.27, 1,002.01 and 476.49 is: 658.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.27 : 1,002.01 = 476.49 : x
  2. Step 2: Convert to fraction form
    725.27/1,002.01 = 476.49/x
  3. Step 3: Cross multiply
    725.27x = 1,002.01 × 476.49
  4. Step 4: Simplify right side
    725.27x = 477,445.36
  5. Step 5: Solve for x
    x = 477,445.36/725.27
  6. Step 6: Final answer
    x = 658.30

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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.