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Finding the Fourth Proportional to 1,255.36, 1,732.26 and 731.29

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Solution

The fourth proportional to 1,255.36, 1,732.26 and 731.29 is: 1,009.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.36 : 1,732.26 = 731.29 : x
  2. Step 2: Convert to fraction form
    1,255.36/1,732.26 = 731.29/x
  3. Step 3: Cross multiply
    1,255.36x = 1,732.26 × 731.29
  4. Step 4: Simplify right side
    1,255.36x = 1,266,784.42
  5. Step 5: Solve for x
    x = 1,266,784.42/1,255.36
  6. Step 6: Final answer
    x = 1,009.10

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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.