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Finding the Fourth Proportional to 1,193.20, 1,789.82 and 327.52

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Solution

The fourth proportional to 1,193.20, 1,789.82 and 327.52 is: 491.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.20 : 1,789.82 = 327.52 : x
  2. Step 2: Convert to fraction form
    1,193.20/1,789.82 = 327.52/x
  3. Step 3: Cross multiply
    1,193.20x = 1,789.82 × 327.52
  4. Step 4: Simplify right side
    1,193.20x = 586,201.85
  5. Step 5: Solve for x
    x = 586,201.85/1,193.20
  6. Step 6: Final answer
    x = 491.29

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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.