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Finding the Fourth Proportional to 789.60, 1,183.94 and 378.55

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Solution

The fourth proportional to 789.60, 1,183.94 and 378.55 is: 567.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.60 : 1,183.94 = 378.55 : x
  2. Step 2: Convert to fraction form
    789.60/1,183.94 = 378.55/x
  3. Step 3: Cross multiply
    789.60x = 1,183.94 × 378.55
  4. Step 4: Simplify right side
    789.60x = 448,179.23
  5. Step 5: Solve for x
    x = 448,179.23/789.60
  6. Step 6: Final answer
    x = 567.60

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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.