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Finding the Fourth Proportional to 789.03, 1,183.70 and 327.06

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Solution

The fourth proportional to 789.03, 1,183.70 and 327.06 is: 490.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.03 : 1,183.70 = 327.06 : x
  2. Step 2: Convert to fraction form
    789.03/1,183.70 = 327.06/x
  3. Step 3: Cross multiply
    789.03x = 1,183.70 × 327.06
  4. Step 4: Simplify right side
    789.03x = 387,140.92
  5. Step 5: Solve for x
    x = 387,140.92/789.03
  6. Step 6: Final answer
    x = 490.65

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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.