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Finding the Fourth Proportional to 861.44, 1,188.41 and 662.31

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Solution

The fourth proportional to 861.44, 1,188.41 and 662.31 is: 913.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.44 : 1,188.41 = 662.31 : x
  2. Step 2: Convert to fraction form
    861.44/1,188.41 = 662.31/x
  3. Step 3: Cross multiply
    861.44x = 1,188.41 × 662.31
  4. Step 4: Simplify right side
    861.44x = 787,092.52
  5. Step 5: Solve for x
    x = 787,092.52/861.44
  6. Step 6: Final answer
    x = 913.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.