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Finding the Fourth Proportional to 791.84, 1,092.84 and 481.16

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Solution

The fourth proportional to 791.84, 1,092.84 and 481.16 is: 664.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.84 : 1,092.84 = 481.16 : x
  2. Step 2: Convert to fraction form
    791.84/1,092.84 = 481.16/x
  3. Step 3: Cross multiply
    791.84x = 1,092.84 × 481.16
  4. Step 4: Simplify right side
    791.84x = 525,830.89
  5. Step 5: Solve for x
    x = 525,830.89/791.84
  6. Step 6: Final answer
    x = 664.06

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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.