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Finding the Fourth Proportional to 726.47, 1,002.02 and 477.71

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Solution

The fourth proportional to 726.47, 1,002.02 and 477.71 is: 658.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.47 : 1,002.02 = 477.71 : x
  2. Step 2: Convert to fraction form
    726.47/1,002.02 = 477.71/x
  3. Step 3: Cross multiply
    726.47x = 1,002.02 × 477.71
  4. Step 4: Simplify right side
    726.47x = 478,667.58
  5. Step 5: Solve for x
    x = 478,667.58/726.47
  6. Step 6: Final answer
    x = 658.90

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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.