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Finding the Fourth Proportional to 938.52, 1,405.90 and 861.97

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Solution

The fourth proportional to 938.52, 1,405.90 and 861.97 is: 1,291.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.52 : 1,405.90 = 861.97 : x
  2. Step 2: Convert to fraction form
    938.52/1,405.90 = 861.97/x
  3. Step 3: Cross multiply
    938.52x = 1,405.90 × 861.97
  4. Step 4: Simplify right side
    938.52x = 1,211,843.62
  5. Step 5: Solve for x
    x = 1,211,843.62/938.52
  6. Step 6: Final answer
    x = 1,291.23

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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.