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Finding the Fourth Proportional to 861.44, 1,291.70 and 587.60

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Solution

The fourth proportional to 861.44, 1,291.70 and 587.60 is: 881.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.44 : 1,291.70 = 587.60 : x
  2. Step 2: Convert to fraction form
    861.44/1,291.70 = 587.60/x
  3. Step 3: Cross multiply
    861.44x = 1,291.70 × 587.60
  4. Step 4: Simplify right side
    861.44x = 759,006.73
  5. Step 5: Solve for x
    x = 759,006.73/861.44
  6. Step 6: Final answer
    x = 881.10

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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.