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Finding the Fourth Proportional to 1,332.52, 1,997.28 and 638.23

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Solution

The fourth proportional to 1,332.52, 1,997.28 and 638.23 is: 956.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.52 : 1,997.28 = 638.23 : x
  2. Step 2: Convert to fraction form
    1,332.52/1,997.28 = 638.23/x
  3. Step 3: Cross multiply
    1,332.52x = 1,997.28 × 638.23
  4. Step 4: Simplify right side
    1,332.52x = 1,274,724.01
  5. Step 5: Solve for x
    x = 1,274,724.01/1,332.52
  6. Step 6: Final answer
    x = 956.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.