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Finding the Fourth Proportional to 1,163.52, 1,753.28 and 962.61

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Solution

The fourth proportional to 1,163.52, 1,753.28 and 962.61 is: 1,450.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.52 : 1,753.28 = 962.61 : x
  2. Step 2: Convert to fraction form
    1,163.52/1,753.28 = 962.61/x
  3. Step 3: Cross multiply
    1,163.52x = 1,753.28 × 962.61
  4. Step 4: Simplify right side
    1,163.52x = 1,687,724.86
  5. Step 5: Solve for x
    x = 1,687,724.86/1,163.52
  6. Step 6: Final answer
    x = 1,450.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.