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Finding the Fourth Proportional to 1,229.75, 1,844.31 and 765.82

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Solution

The fourth proportional to 1,229.75, 1,844.31 and 765.82 is: 1,148.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.75 : 1,844.31 = 765.82 : x
  2. Step 2: Convert to fraction form
    1,229.75/1,844.31 = 765.82/x
  3. Step 3: Cross multiply
    1,229.75x = 1,844.31 × 765.82
  4. Step 4: Simplify right side
    1,229.75x = 1,412,409.48
  5. Step 5: Solve for x
    x = 1,412,409.48/1,229.75
  6. Step 6: Final answer
    x = 1,148.53

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