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Finding the Fourth Proportional to 726.55, 1,002.57 and 411.79

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Solution

The fourth proportional to 726.55, 1,002.57 and 411.79 is: 568.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.55 : 1,002.57 = 411.79 : x
  2. Step 2: Convert to fraction form
    726.55/1,002.57 = 411.79/x
  3. Step 3: Cross multiply
    726.55x = 1,002.57 × 411.79
  4. Step 4: Simplify right side
    726.55x = 412,848.30
  5. Step 5: Solve for x
    x = 412,848.30/726.55
  6. Step 6: Final answer
    x = 568.23

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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.