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Finding the Fourth Proportional to 1,255.52, 1,731.84 and 731.12

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Solution

The fourth proportional to 1,255.52, 1,731.84 and 731.12 is: 1,008.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.52 : 1,731.84 = 731.12 : x
  2. Step 2: Convert to fraction form
    1,255.52/1,731.84 = 731.12/x
  3. Step 3: Cross multiply
    1,255.52x = 1,731.84 × 731.12
  4. Step 4: Simplify right side
    1,255.52x = 1,266,182.86
  5. Step 5: Solve for x
    x = 1,266,182.86/1,255.52
  6. Step 6: Final answer
    x = 1,008.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.