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Finding the Fourth Proportional to 791.10, 1,092.60 and 595.44

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Solution

The fourth proportional to 791.10, 1,092.60 and 595.44 is: 822.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.10 : 1,092.60 = 595.44 : x
  2. Step 2: Convert to fraction form
    791.10/1,092.60 = 595.44/x
  3. Step 3: Cross multiply
    791.10x = 1,092.60 × 595.44
  4. Step 4: Simplify right side
    791.10x = 650,577.74
  5. Step 5: Solve for x
    x = 650,577.74/791.10
  6. Step 6: Final answer
    x = 822.37

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Why These Related Problems?

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