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Finding the Fourth Proportional to 1,197.98, 1,796.97 and 978.37

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Solution

The fourth proportional to 1,197.98, 1,796.97 and 978.37 is: 1,467.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.98 : 1,796.97 = 978.37 : x
  2. Step 2: Convert to fraction form
    1,197.98/1,796.97 = 978.37/x
  3. Step 3: Cross multiply
    1,197.98x = 1,796.97 × 978.37
  4. Step 4: Simplify right side
    1,197.98x = 1,758,087.66
  5. Step 5: Solve for x
    x = 1,758,087.66/1,197.98
  6. Step 6: Final answer
    x = 1,467.54

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