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Finding the Fourth Proportional to 1,138.26, 1,705.56 and 1,028.92

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Solution

The fourth proportional to 1,138.26, 1,705.56 and 1,028.92 is: 1,541.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.26 : 1,705.56 = 1,028.92 : x
  2. Step 2: Convert to fraction form
    1,138.26/1,705.56 = 1,028.92/x
  3. Step 3: Cross multiply
    1,138.26x = 1,705.56 × 1,028.92
  4. Step 4: Simplify right side
    1,138.26x = 1,754,884.80
  5. Step 5: Solve for x
    x = 1,754,884.80/1,138.26
  6. Step 6: Final answer
    x = 1,541.73

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