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Finding the Fourth Proportional to 791.51, 1,092.23 and 437.42

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Solution

The fourth proportional to 791.51, 1,092.23 and 437.42 is: 603.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.51 : 1,092.23 = 437.42 : x
  2. Step 2: Convert to fraction form
    791.51/1,092.23 = 437.42/x
  3. Step 3: Cross multiply
    791.51x = 1,092.23 × 437.42
  4. Step 4: Simplify right side
    791.51x = 477,763.25
  5. Step 5: Solve for x
    x = 477,763.25/791.51
  6. Step 6: Final answer
    x = 603.61

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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.