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Finding the Fourth Proportional to 791.56, 1,092.64 and 595.64

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Solution

The fourth proportional to 791.56, 1,092.64 and 595.64 is: 822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.56 : 1,092.64 = 595.64 : x
  2. Step 2: Convert to fraction form
    791.56/1,092.64 = 595.64/x
  3. Step 3: Cross multiply
    791.56x = 1,092.64 × 595.64
  4. Step 4: Simplify right side
    791.56x = 650,816.30
  5. Step 5: Solve for x
    x = 650,816.30/791.56
  6. Step 6: Final answer
    x = 822.20

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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.