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Finding the Fourth Proportional to 793.70, 1,191.27 and 403.97

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Solution

The fourth proportional to 793.70, 1,191.27 and 403.97 is: 606.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.70 : 1,191.27 = 403.97 : x
  2. Step 2: Convert to fraction form
    793.70/1,191.27 = 403.97/x
  3. Step 3: Cross multiply
    793.70x = 1,191.27 × 403.97
  4. Step 4: Simplify right side
    793.70x = 481,235.38
  5. Step 5: Solve for x
    x = 481,235.38/793.70
  6. Step 6: Final answer
    x = 606.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.