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Finding the Fourth Proportional to 789.16, 1,183.64 and 378.56

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Solution

The fourth proportional to 789.16, 1,183.64 and 378.56 is: 567.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.16 : 1,183.64 = 378.56 : x
  2. Step 2: Convert to fraction form
    789.16/1,183.64 = 378.56/x
  3. Step 3: Cross multiply
    789.16x = 1,183.64 × 378.56
  4. Step 4: Simplify right side
    789.16x = 448,078.76
  5. Step 5: Solve for x
    x = 448,078.76/789.16
  6. Step 6: Final answer
    x = 567.79

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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.