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Finding the Fourth Proportional to 793.28, 1,190.16 and 408.80

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Solution

The fourth proportional to 793.28, 1,190.16 and 408.80 is: 613.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.28 : 1,190.16 = 408.80 : x
  2. Step 2: Convert to fraction form
    793.28/1,190.16 = 408.80/x
  3. Step 3: Cross multiply
    793.28x = 1,190.16 × 408.80
  4. Step 4: Simplify right side
    793.28x = 486,537.41
  5. Step 5: Solve for x
    x = 486,537.41/793.28
  6. Step 6: Final answer
    x = 613.32

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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.