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Finding the Fourth Proportional to 726.53, 1,002.53 and 411.78

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Solution

The fourth proportional to 726.53, 1,002.53 and 411.78 is: 568.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.53 : 1,002.53 = 411.78 : x
  2. Step 2: Convert to fraction form
    726.53/1,002.53 = 411.78/x
  3. Step 3: Cross multiply
    726.53x = 1,002.53 × 411.78
  4. Step 4: Simplify right side
    726.53x = 412,819.74
  5. Step 5: Solve for x
    x = 412,819.74/726.53
  6. Step 6: Final answer
    x = 568.21

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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.