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Finding the Fourth Proportional to 778.89, 1,168.45 and 731.96

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Solution

The fourth proportional to 778.89, 1,168.45 and 731.96 is: 1,098.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.89 : 1,168.45 = 731.96 : x
  2. Step 2: Convert to fraction form
    778.89/1,168.45 = 731.96/x
  3. Step 3: Cross multiply
    778.89x = 1,168.45 × 731.96
  4. Step 4: Simplify right side
    778.89x = 855,260.72
  5. Step 5: Solve for x
    x = 855,260.72/778.89
  6. Step 6: Final answer
    x = 1,098.05

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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.