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Finding the Fourth Proportional to 789.45, 1,183.49 and 378.40

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Solution

The fourth proportional to 789.45, 1,183.49 and 378.40 is: 567.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.45 : 1,183.49 = 378.40 : x
  2. Step 2: Convert to fraction form
    789.45/1,183.49 = 378.40/x
  3. Step 3: Cross multiply
    789.45x = 1,183.49 × 378.40
  4. Step 4: Simplify right side
    789.45x = 447,827.01
  5. Step 5: Solve for x
    x = 447,827.01/789.45
  6. Step 6: Final answer
    x = 567.27

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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.