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Finding the Fourth Proportional to 789.76, 1,183.66 and 327.24

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Solution

The fourth proportional to 789.76, 1,183.66 and 327.24 is: 490.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.76 : 1,183.66 = 327.24 : x
  2. Step 2: Convert to fraction form
    789.76/1,183.66 = 327.24/x
  3. Step 3: Cross multiply
    789.76x = 1,183.66 × 327.24
  4. Step 4: Simplify right side
    789.76x = 387,340.90
  5. Step 5: Solve for x
    x = 387,340.90/789.76
  6. Step 6: Final answer
    x = 490.45

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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.