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Finding the Fourth Proportional to 739.85, 1,108.92 and 531.38

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Solution

The fourth proportional to 739.85, 1,108.92 and 531.38 is: 796.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.85 : 1,108.92 = 531.38 : x
  2. Step 2: Convert to fraction form
    739.85/1,108.92 = 531.38/x
  3. Step 3: Cross multiply
    739.85x = 1,108.92 × 531.38
  4. Step 4: Simplify right side
    739.85x = 589,257.91
  5. Step 5: Solve for x
    x = 589,257.91/739.85
  6. Step 6: Final answer
    x = 796.46

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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.