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Finding the Fourth Proportional to 789.91, 1,184.00 and 327.44

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Solution

The fourth proportional to 789.91, 1,184.00 and 327.44 is: 490.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.91 : 1,184.00 = 327.44 : x
  2. Step 2: Convert to fraction form
    789.91/1,184.00 = 327.44/x
  3. Step 3: Cross multiply
    789.91x = 1,184.00 × 327.44
  4. Step 4: Simplify right side
    789.91x = 387,690.28
  5. Step 5: Solve for x
    x = 387,690.28/789.91
  6. Step 6: Final answer
    x = 490.80

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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.