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Finding the Fourth Proportional to 861.11, 1,291.57 and 585.24

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Solution

The fourth proportional to 861.11, 1,291.57 and 585.24 is: 877.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.11 : 1,291.57 = 585.24 : x
  2. Step 2: Convert to fraction form
    861.11/1,291.57 = 585.24/x
  3. Step 3: Cross multiply
    861.11x = 1,291.57 × 585.24
  4. Step 4: Simplify right side
    861.11x = 755,869.04
  5. Step 5: Solve for x
    x = 755,869.04/861.11
  6. Step 6: Final answer
    x = 877.78

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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.