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Finding the Fourth Proportional to 726.34, 1,002.31 and 411.57

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Solution

The fourth proportional to 726.34, 1,002.31 and 411.57 is: 567.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.34 : 1,002.31 = 411.57 : x
  2. Step 2: Convert to fraction form
    726.34/1,002.31 = 411.57/x
  3. Step 3: Cross multiply
    726.34x = 1,002.31 × 411.57
  4. Step 4: Simplify right side
    726.34x = 412,520.73
  5. Step 5: Solve for x
    x = 412,520.73/726.34
  6. Step 6: Final answer
    x = 567.94

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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.