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Finding the Fourth Proportional to 726.57, 1,002.64 and 411.81

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Solution

The fourth proportional to 726.57, 1,002.64 and 411.81 is: 568.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.57 : 1,002.64 = 411.81 : x
  2. Step 2: Convert to fraction form
    726.57/1,002.64 = 411.81/x
  3. Step 3: Cross multiply
    726.57x = 1,002.64 × 411.81
  4. Step 4: Simplify right side
    726.57x = 412,897.18
  5. Step 5: Solve for x
    x = 412,897.18/726.57
  6. Step 6: Final answer
    x = 568.28

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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.