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Finding the Fourth Proportional to 997.63, 1,494.12 and 963.02

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Solution

The fourth proportional to 997.63, 1,494.12 and 963.02 is: 1,442.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.63 : 1,494.12 = 963.02 : x
  2. Step 2: Convert to fraction form
    997.63/1,494.12 = 963.02/x
  3. Step 3: Cross multiply
    997.63x = 1,494.12 × 963.02
  4. Step 4: Simplify right side
    997.63x = 1,438,862.63
  5. Step 5: Solve for x
    x = 1,438,862.63/997.63
  6. Step 6: Final answer
    x = 1,442.29

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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.