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Finding the Fourth Proportional to 747.57, 1,123.17 and 729.33

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Solution

The fourth proportional to 747.57, 1,123.17 and 729.33 is: 1,095.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.57 : 1,123.17 = 729.33 : x
  2. Step 2: Convert to fraction form
    747.57/1,123.17 = 729.33/x
  3. Step 3: Cross multiply
    747.57x = 1,123.17 × 729.33
  4. Step 4: Simplify right side
    747.57x = 819,161.58
  5. Step 5: Solve for x
    x = 819,161.58/747.57
  6. Step 6: Final answer
    x = 1,095.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.