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Finding the Fourth Proportional to 1,198.26, 1,799.82 and 1,164.24

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Solution

The fourth proportional to 1,198.26, 1,799.82 and 1,164.24 is: 1,748.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.26 : 1,799.82 = 1,164.24 : x
  2. Step 2: Convert to fraction form
    1,198.26/1,799.82 = 1,164.24/x
  3. Step 3: Cross multiply
    1,198.26x = 1,799.82 × 1,164.24
  4. Step 4: Simplify right side
    1,198.26x = 2,095,422.44
  5. Step 5: Solve for x
    x = 2,095,422.44/1,198.26
  6. Step 6: Final answer
    x = 1,748.72

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