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Finding the Fourth Proportional to 861.53, 1,290.36 and 665.16

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Solution

The fourth proportional to 861.53, 1,290.36 and 665.16 is: 996.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.53 : 1,290.36 = 665.16 : x
  2. Step 2: Convert to fraction form
    861.53/1,290.36 = 665.16/x
  3. Step 3: Cross multiply
    861.53x = 1,290.36 × 665.16
  4. Step 4: Simplify right side
    861.53x = 858,295.86
  5. Step 5: Solve for x
    x = 858,295.86/861.53
  6. Step 6: Final answer
    x = 996.25

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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.