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Finding the Fourth Proportional to 726.57, 1,002.58 and 411.85

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Solution

The fourth proportional to 726.57, 1,002.58 and 411.85 is: 568.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.57 : 1,002.58 = 411.85 : x
  2. Step 2: Convert to fraction form
    726.57/1,002.58 = 411.85/x
  3. Step 3: Cross multiply
    726.57x = 1,002.58 × 411.85
  4. Step 4: Simplify right side
    726.57x = 412,906.53
  5. Step 5: Solve for x
    x = 412,906.53/726.57
  6. Step 6: Final answer
    x = 568.30

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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.