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Finding the Fourth Proportional to 861.98, 1,291.24 and 399.11

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Solution

The fourth proportional to 861.98, 1,291.24 and 399.11 is: 597.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.98 : 1,291.24 = 399.11 : x
  2. Step 2: Convert to fraction form
    861.98/1,291.24 = 399.11/x
  3. Step 3: Cross multiply
    861.98x = 1,291.24 × 399.11
  4. Step 4: Simplify right side
    861.98x = 515,346.80
  5. Step 5: Solve for x
    x = 515,346.80/861.98
  6. Step 6: Final answer
    x = 597.86

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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.