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Finding the Fourth Proportional to 1,255.08, 1,732.08 and 757.71

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Solution

The fourth proportional to 1,255.08, 1,732.08 and 757.71 is: 1,045.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.08 : 1,732.08 = 757.71 : x
  2. Step 2: Convert to fraction form
    1,255.08/1,732.08 = 757.71/x
  3. Step 3: Cross multiply
    1,255.08x = 1,732.08 × 757.71
  4. Step 4: Simplify right side
    1,255.08x = 1,312,414.34
  5. Step 5: Solve for x
    x = 1,312,414.34/1,255.08
  6. Step 6: Final answer
    x = 1,045.68

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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.