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Finding the Fourth Proportional to 793.41, 1,190.11 and 273.42

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Solution

The fourth proportional to 793.41, 1,190.11 and 273.42 is: 410.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.41 : 1,190.11 = 273.42 : x
  2. Step 2: Convert to fraction form
    793.41/1,190.11 = 273.42/x
  3. Step 3: Cross multiply
    793.41x = 1,190.11 × 273.42
  4. Step 4: Simplify right side
    793.41x = 325,399.88
  5. Step 5: Solve for x
    x = 325,399.88/793.41
  6. Step 6: Final answer
    x = 410.13

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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.