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Finding the Fourth Proportional to 791.91, 1,187.93 and 244.21

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Solution

The fourth proportional to 791.91, 1,187.93 and 244.21 is: 366.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.91 : 1,187.93 = 244.21 : x
  2. Step 2: Convert to fraction form
    791.91/1,187.93 = 244.21/x
  3. Step 3: Cross multiply
    791.91x = 1,187.93 × 244.21
  4. Step 4: Simplify right side
    791.91x = 290,104.39
  5. Step 5: Solve for x
    x = 290,104.39/791.91
  6. Step 6: Final answer
    x = 366.34

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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.