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Finding the Fourth Proportional to 789.18, 1,183.44 and 378.22

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Solution

The fourth proportional to 789.18, 1,183.44 and 378.22 is: 567.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.18 : 1,183.44 = 378.22 : x
  2. Step 2: Convert to fraction form
    789.18/1,183.44 = 378.22/x
  3. Step 3: Cross multiply
    789.18x = 1,183.44 × 378.22
  4. Step 4: Simplify right side
    789.18x = 447,600.68
  5. Step 5: Solve for x
    x = 447,600.68/789.18
  6. Step 6: Final answer
    x = 567.17

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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.