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Finding the Fourth Proportional to 861.92, 1,291.87 and 451.25

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Solution

The fourth proportional to 861.92, 1,291.87 and 451.25 is: 676.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.92 : 1,291.87 = 451.25 : x
  2. Step 2: Convert to fraction form
    861.92/1,291.87 = 451.25/x
  3. Step 3: Cross multiply
    861.92x = 1,291.87 × 451.25
  4. Step 4: Simplify right side
    861.92x = 582,960.13
  5. Step 5: Solve for x
    x = 582,960.13/861.92
  6. Step 6: Final answer
    x = 676.35

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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.