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Finding the Fourth Proportional to 726.54, 1,002.70 and 411.86

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Solution

The fourth proportional to 726.54, 1,002.70 and 411.86 is: 568.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.54 : 1,002.70 = 411.86 : x
  2. Step 2: Convert to fraction form
    726.54/1,002.70 = 411.86/x
  3. Step 3: Cross multiply
    726.54x = 1,002.70 × 411.86
  4. Step 4: Simplify right side
    726.54x = 412,972.02
  5. Step 5: Solve for x
    x = 412,972.02/726.54
  6. Step 6: Final answer
    x = 568.41

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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.