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Finding the Fourth Proportional to 739.74, 1,109.63 and 252.78

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Solution

The fourth proportional to 739.74, 1,109.63 and 252.78 is: 379.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.74 : 1,109.63 = 252.78 : x
  2. Step 2: Convert to fraction form
    739.74/1,109.63 = 252.78/x
  3. Step 3: Cross multiply
    739.74x = 1,109.63 × 252.78
  4. Step 4: Simplify right side
    739.74x = 280,491.01
  5. Step 5: Solve for x
    x = 280,491.01/739.74
  6. Step 6: Final answer
    x = 379.18

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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.