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Finding the Fourth Proportional to 789.32, 1,183.68 and 378.34

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Solution

The fourth proportional to 789.32, 1,183.68 and 378.34 is: 567.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.32 : 1,183.68 = 378.34 : x
  2. Step 2: Convert to fraction form
    789.32/1,183.68 = 378.34/x
  3. Step 3: Cross multiply
    789.32x = 1,183.68 × 378.34
  4. Step 4: Simplify right side
    789.32x = 447,833.49
  5. Step 5: Solve for x
    x = 447,833.49/789.32
  6. Step 6: Final answer
    x = 567.37

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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.