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Finding the Fourth Proportional to 1,123.22, 1,549.70 and 791.82

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Solution

The fourth proportional to 1,123.22, 1,549.70 and 791.82 is: 1,092.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.22 : 1,549.70 = 791.82 : x
  2. Step 2: Convert to fraction form
    1,123.22/1,549.70 = 791.82/x
  3. Step 3: Cross multiply
    1,123.22x = 1,549.70 × 791.82
  4. Step 4: Simplify right side
    1,123.22x = 1,227,083.45
  5. Step 5: Solve for x
    x = 1,227,083.45/1,123.22
  6. Step 6: Final answer
    x = 1,092.47

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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.