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Finding the Fourth Proportional to 789.48, 1,183.41 and 326.97

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Solution

The fourth proportional to 789.48, 1,183.41 and 326.97 is: 490.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.48 : 1,183.41 = 326.97 : x
  2. Step 2: Convert to fraction form
    789.48/1,183.41 = 326.97/x
  3. Step 3: Cross multiply
    789.48x = 1,183.41 × 326.97
  4. Step 4: Simplify right side
    789.48x = 386,939.57
  5. Step 5: Solve for x
    x = 386,939.57/789.48
  6. Step 6: Final answer
    x = 490.12

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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.