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Finding the Fourth Proportional to 721.67, 1,082.39 and 674.97

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Solution

The fourth proportional to 721.67, 1,082.39 and 674.97 is: 1,012.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.67 : 1,082.39 = 674.97 : x
  2. Step 2: Convert to fraction form
    721.67/1,082.39 = 674.97/x
  3. Step 3: Cross multiply
    721.67x = 1,082.39 × 674.97
  4. Step 4: Simplify right side
    721.67x = 730,577.40
  5. Step 5: Solve for x
    x = 730,577.40/721.67
  6. Step 6: Final answer
    x = 1,012.34

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