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Finding the Fourth Proportional to 732.78, 1,092.71 and 726.20

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Solution

The fourth proportional to 732.78, 1,092.71 and 726.20 is: 1,082.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.78 : 1,092.71 = 726.20 : x
  2. Step 2: Convert to fraction form
    732.78/1,092.71 = 726.20/x
  3. Step 3: Cross multiply
    732.78x = 1,092.71 × 726.20
  4. Step 4: Simplify right side
    732.78x = 793,516.91
  5. Step 5: Solve for x
    x = 793,516.91/732.78
  6. Step 6: Final answer
    x = 1,082.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.