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Finding the Fourth Proportional to 789.39, 1,184.62 and 327.18

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Solution

The fourth proportional to 789.39, 1,184.62 and 327.18 is: 490.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.39 : 1,184.62 = 327.18 : x
  2. Step 2: Convert to fraction form
    789.39/1,184.62 = 327.18/x
  3. Step 3: Cross multiply
    789.39x = 1,184.62 × 327.18
  4. Step 4: Simplify right side
    789.39x = 387,583.97
  5. Step 5: Solve for x
    x = 387,583.97/789.39
  6. Step 6: Final answer
    x = 490.99

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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.