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Finding the Fourth Proportional to 789.22, 1,183.96 and 326.74

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Solution

The fourth proportional to 789.22, 1,183.96 and 326.74 is: 490.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.22 : 1,183.96 = 326.74 : x
  2. Step 2: Convert to fraction form
    789.22/1,183.96 = 326.74/x
  3. Step 3: Cross multiply
    789.22x = 1,183.96 × 326.74
  4. Step 4: Simplify right side
    789.22x = 386,841.17
  5. Step 5: Solve for x
    x = 386,841.17/789.22
  6. Step 6: Final answer
    x = 490.16

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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.