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Finding the Fourth Proportional to 791.14, 1,091.30 and 495.90

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Solution

The fourth proportional to 791.14, 1,091.30 and 495.90 is: 684.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.14 : 1,091.30 = 495.90 : x
  2. Step 2: Convert to fraction form
    791.14/1,091.30 = 495.90/x
  3. Step 3: Cross multiply
    791.14x = 1,091.30 × 495.90
  4. Step 4: Simplify right side
    791.14x = 541,175.67
  5. Step 5: Solve for x
    x = 541,175.67/791.14
  6. Step 6: Final answer
    x = 684.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.