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Finding the Fourth Proportional to 791.46, 1,186.11 and 380.57

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Solution

The fourth proportional to 791.46, 1,186.11 and 380.57 is: 570.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.46 : 1,186.11 = 380.57 : x
  2. Step 2: Convert to fraction form
    791.46/1,186.11 = 380.57/x
  3. Step 3: Cross multiply
    791.46x = 1,186.11 × 380.57
  4. Step 4: Simplify right side
    791.46x = 451,391.95
  5. Step 5: Solve for x
    x = 451,391.95/791.46
  6. Step 6: Final answer
    x = 570.33

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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.