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Finding the Fourth Proportional to 1,323.23, 1,825.20 and 791.73

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Solution

The fourth proportional to 1,323.23, 1,825.20 and 791.73 is: 1,092.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.23 : 1,825.20 = 791.73 : x
  2. Step 2: Convert to fraction form
    1,323.23/1,825.20 = 791.73/x
  3. Step 3: Cross multiply
    1,323.23x = 1,825.20 × 791.73
  4. Step 4: Simplify right side
    1,323.23x = 1,445,065.60
  5. Step 5: Solve for x
    x = 1,445,065.60/1,323.23
  6. Step 6: Final answer
    x = 1,092.08

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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.