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Finding the Fourth Proportional to 1,253.31, 1,731.20 and 962.16

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Solution

The fourth proportional to 1,253.31, 1,731.20 and 962.16 is: 1,329.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.31 : 1,731.20 = 962.16 : x
  2. Step 2: Convert to fraction form
    1,253.31/1,731.20 = 962.16/x
  3. Step 3: Cross multiply
    1,253.31x = 1,731.20 × 962.16
  4. Step 4: Simplify right side
    1,253.31x = 1,665,691.39
  5. Step 5: Solve for x
    x = 1,665,691.39/1,253.31
  6. Step 6: Final answer
    x = 1,329.03

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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.