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Finding the Fourth Proportional to 1,198.08, 1,794.72 and 1,096.56

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Solution

The fourth proportional to 1,198.08, 1,794.72 and 1,096.56 is: 1,642.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.08 : 1,794.72 = 1,096.56 : x
  2. Step 2: Convert to fraction form
    1,198.08/1,794.72 = 1,096.56/x
  3. Step 3: Cross multiply
    1,198.08x = 1,794.72 × 1,096.56
  4. Step 4: Simplify right side
    1,198.08x = 1,968,018.16
  5. Step 5: Solve for x
    x = 1,968,018.16/1,198.08
  6. Step 6: Final answer
    x = 1,642.64

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