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Finding the Fourth Proportional to 791.92, 1,092.24 and 526.48

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Solution

The fourth proportional to 791.92, 1,092.24 and 526.48 is: 726.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.92 : 1,092.24 = 526.48 : x
  2. Step 2: Convert to fraction form
    791.92/1,092.24 = 526.48/x
  3. Step 3: Cross multiply
    791.92x = 1,092.24 × 526.48
  4. Step 4: Simplify right side
    791.92x = 575,042.52
  5. Step 5: Solve for x
    x = 575,042.52/791.92
  6. Step 6: Final answer
    x = 726.14

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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.