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Finding the Fourth Proportional to 996.58, 1,375.49 and 798.73

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Solution

The fourth proportional to 996.58, 1,375.49 and 798.73 is: 1,102.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.58 : 1,375.49 = 798.73 : x
  2. Step 2: Convert to fraction form
    996.58/1,375.49 = 798.73/x
  3. Step 3: Cross multiply
    996.58x = 1,375.49 × 798.73
  4. Step 4: Simplify right side
    996.58x = 1,098,638.25
  5. Step 5: Solve for x
    x = 1,098,638.25/996.58
  6. Step 6: Final answer
    x = 1,102.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.