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Finding the Fourth Proportional to 1,198.07, 1,794.72 and 1,096.55

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Solution

The fourth proportional to 1,198.07, 1,794.72 and 1,096.55 is: 1,642.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.07 : 1,794.72 = 1,096.55 : x
  2. Step 2: Convert to fraction form
    1,198.07/1,794.72 = 1,096.55/x
  3. Step 3: Cross multiply
    1,198.07x = 1,794.72 × 1,096.55
  4. Step 4: Simplify right side
    1,198.07x = 1,968,000.22
  5. Step 5: Solve for x
    x = 1,968,000.22/1,198.07
  6. Step 6: Final answer
    x = 1,642.64

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