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Finding the Fourth Proportional to 1,255.36, 1,731.64 and 757.71

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Solution

The fourth proportional to 1,255.36, 1,731.64 and 757.71 is: 1,045.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.36 : 1,731.64 = 757.71 : x
  2. Step 2: Convert to fraction form
    1,255.36/1,731.64 = 757.71/x
  3. Step 3: Cross multiply
    1,255.36x = 1,731.64 × 757.71
  4. Step 4: Simplify right side
    1,255.36x = 1,312,080.94
  5. Step 5: Solve for x
    x = 1,312,080.94/1,255.36
  6. Step 6: Final answer
    x = 1,045.18

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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.