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Finding the Fourth Proportional to 861.14, 1,291.76 and 759.14

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Solution

The fourth proportional to 861.14, 1,291.76 and 759.14 is: 1,138.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.14 : 1,291.76 = 759.14 : x
  2. Step 2: Convert to fraction form
    861.14/1,291.76 = 759.14/x
  3. Step 3: Cross multiply
    861.14x = 1,291.76 × 759.14
  4. Step 4: Simplify right side
    861.14x = 980,626.69
  5. Step 5: Solve for x
    x = 980,626.69/861.14
  6. Step 6: Final answer
    x = 1,138.75

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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.