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Finding the Fourth Proportional to 996.92, 1,493.42 and 762.92

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Solution

The fourth proportional to 996.92, 1,493.42 and 762.92 is: 1,142.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.92 : 1,493.42 = 762.92 : x
  2. Step 2: Convert to fraction form
    996.92/1,493.42 = 762.92/x
  3. Step 3: Cross multiply
    996.92x = 1,493.42 × 762.92
  4. Step 4: Simplify right side
    996.92x = 1,139,348.70
  5. Step 5: Solve for x
    x = 1,139,348.70/996.92
  6. Step 6: Final answer
    x = 1,142.87

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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.