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Finding the Fourth Proportional to 1,163.84, 1,745.75 and 1,096.20

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Solution

The fourth proportional to 1,163.84, 1,745.75 and 1,096.20 is: 1,644.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.84 : 1,745.75 = 1,096.20 : x
  2. Step 2: Convert to fraction form
    1,163.84/1,745.75 = 1,096.20/x
  3. Step 3: Cross multiply
    1,163.84x = 1,745.75 × 1,096.20
  4. Step 4: Simplify right side
    1,163.84x = 1,913,693.89
  5. Step 5: Solve for x
    x = 1,913,693.89/1,163.84
  6. Step 6: Final answer
    x = 1,644.30

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