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Finding the Fourth Proportional to 789.11, 1,183.71 and 268.97

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Solution

The fourth proportional to 789.11, 1,183.71 and 268.97 is: 403.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.11 : 1,183.71 = 268.97 : x
  2. Step 2: Convert to fraction form
    789.11/1,183.71 = 268.97/x
  3. Step 3: Cross multiply
    789.11x = 1,183.71 × 268.97
  4. Step 4: Simplify right side
    789.11x = 318,375.22
  5. Step 5: Solve for x
    x = 318,375.22/789.11
  6. Step 6: Final answer
    x = 403.46

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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.