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Finding the Fourth Proportional to 996.52, 1,493.82 and 765.04

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Solution

The fourth proportional to 996.52, 1,493.82 and 765.04 is: 1,146.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.52 : 1,493.82 = 765.04 : x
  2. Step 2: Convert to fraction form
    996.52/1,493.82 = 765.04/x
  3. Step 3: Cross multiply
    996.52x = 1,493.82 × 765.04
  4. Step 4: Simplify right side
    996.52x = 1,142,832.05
  5. Step 5: Solve for x
    x = 1,142,832.05/996.52
  6. Step 6: Final answer
    x = 1,146.82

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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.