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Finding the Fourth Proportional to 793.94, 1,189.22 and 408.38

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Solution

The fourth proportional to 793.94, 1,189.22 and 408.38 is: 611.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.94 : 1,189.22 = 408.38 : x
  2. Step 2: Convert to fraction form
    793.94/1,189.22 = 408.38/x
  3. Step 3: Cross multiply
    793.94x = 1,189.22 × 408.38
  4. Step 4: Simplify right side
    793.94x = 485,645.68
  5. Step 5: Solve for x
    x = 485,645.68/793.94
  6. Step 6: Final answer
    x = 611.69

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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.