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Finding the Fourth Proportional to 726.66, 1,002.77 and 411.92

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Solution

The fourth proportional to 726.66, 1,002.77 and 411.92 is: 568.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.66 : 1,002.77 = 411.92 : x
  2. Step 2: Convert to fraction form
    726.66/1,002.77 = 411.92/x
  3. Step 3: Cross multiply
    726.66x = 1,002.77 × 411.92
  4. Step 4: Simplify right side
    726.66x = 413,061.02
  5. Step 5: Solve for x
    x = 413,061.02/726.66
  6. Step 6: Final answer
    x = 568.44

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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.