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Finding the Fourth Proportional to 1,255.14, 1,731.24 and 757.44

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Solution

The fourth proportional to 1,255.14, 1,731.24 and 757.44 is: 1,044.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.14 : 1,731.24 = 757.44 : x
  2. Step 2: Convert to fraction form
    1,255.14/1,731.24 = 757.44/x
  3. Step 3: Cross multiply
    1,255.14x = 1,731.24 × 757.44
  4. Step 4: Simplify right side
    1,255.14x = 1,311,310.43
  5. Step 5: Solve for x
    x = 1,311,310.43/1,255.14
  6. Step 6: Final answer
    x = 1,044.75

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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.