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Finding the Fourth Proportional to 1,105.21, 1,659.44 and 798.83

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Solution

The fourth proportional to 1,105.21, 1,659.44 and 798.83 is: 1,199.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.21 : 1,659.44 = 798.83 : x
  2. Step 2: Convert to fraction form
    1,105.21/1,659.44 = 798.83/x
  3. Step 3: Cross multiply
    1,105.21x = 1,659.44 × 798.83
  4. Step 4: Simplify right side
    1,105.21x = 1,325,610.46
  5. Step 5: Solve for x
    x = 1,325,610.46/1,105.21
  6. Step 6: Final answer
    x = 1,199.42

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