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Finding the Fourth Proportional to 861.83, 1,290.61 and 451.31

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Solution

The fourth proportional to 861.83, 1,290.61 and 451.31 is: 675.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.83 : 1,290.61 = 451.31 : x
  2. Step 2: Convert to fraction form
    861.83/1,290.61 = 451.31/x
  3. Step 3: Cross multiply
    861.83x = 1,290.61 × 451.31
  4. Step 4: Simplify right side
    861.83x = 582,465.20
  5. Step 5: Solve for x
    x = 582,465.20/861.83
  6. Step 6: Final answer
    x = 675.85

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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.