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Finding the Fourth Proportional to 861.26, 1,289.80 and 596.97

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Solution

The fourth proportional to 861.26, 1,289.80 and 596.97 is: 894.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.26 : 1,289.80 = 596.97 : x
  2. Step 2: Convert to fraction form
    861.26/1,289.80 = 596.97/x
  3. Step 3: Cross multiply
    861.26x = 1,289.80 × 596.97
  4. Step 4: Simplify right side
    861.26x = 769,972.65
  5. Step 5: Solve for x
    x = 769,972.65/861.26
  6. Step 6: Final answer
    x = 894.01

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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.