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Finding the Fourth Proportional to 1,332.72, 1,997.73 and 962.55

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Solution

The fourth proportional to 1,332.72, 1,997.73 and 962.55 is: 1,442.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.72 : 1,997.73 = 962.55 : x
  2. Step 2: Convert to fraction form
    1,332.72/1,997.73 = 962.55/x
  3. Step 3: Cross multiply
    1,332.72x = 1,997.73 × 962.55
  4. Step 4: Simplify right side
    1,332.72x = 1,922,915.01
  5. Step 5: Solve for x
    x = 1,922,915.01/1,332.72
  6. Step 6: Final answer
    x = 1,442.85

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Why These Related Problems?

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