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Finding the Fourth Proportional to 861.13, 1,291.33 and 587.44

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Solution

The fourth proportional to 861.13, 1,291.33 and 587.44 is: 880.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.13 : 1,291.33 = 587.44 : x
  2. Step 2: Convert to fraction form
    861.13/1,291.33 = 587.44/x
  3. Step 3: Cross multiply
    861.13x = 1,291.33 × 587.44
  4. Step 4: Simplify right side
    861.13x = 758,578.90
  5. Step 5: Solve for x
    x = 758,578.90/861.13
  6. Step 6: Final answer
    x = 880.91

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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.