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Finding the Fourth Proportional to 767.54, 1,149.87 and 327.80

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Solution

The fourth proportional to 767.54, 1,149.87 and 327.80 is: 491.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.54 : 1,149.87 = 327.80 : x
  2. Step 2: Convert to fraction form
    767.54/1,149.87 = 327.80/x
  3. Step 3: Cross multiply
    767.54x = 1,149.87 × 327.80
  4. Step 4: Simplify right side
    767.54x = 376,927.39
  5. Step 5: Solve for x
    x = 376,927.39/767.54
  6. Step 6: Final answer
    x = 491.09

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