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Finding the Fourth Proportional to 747.82, 1,123.49 and 706.38

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Solution

The fourth proportional to 747.82, 1,123.49 and 706.38 is: 1,061.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.82 : 1,123.49 = 706.38 : x
  2. Step 2: Convert to fraction form
    747.82/1,123.49 = 706.38/x
  3. Step 3: Cross multiply
    747.82x = 1,123.49 × 706.38
  4. Step 4: Simplify right side
    747.82x = 793,610.87
  5. Step 5: Solve for x
    x = 793,610.87/747.82
  6. Step 6: Final answer
    x = 1,061.23

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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.