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Finding the Fourth Proportional to 1,229.24, 1,844.46 and 498.92

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Solution

The fourth proportional to 1,229.24, 1,844.46 and 498.92 is: 748.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.24 : 1,844.46 = 498.92 : x
  2. Step 2: Convert to fraction form
    1,229.24/1,844.46 = 498.92/x
  3. Step 3: Cross multiply
    1,229.24x = 1,844.46 × 498.92
  4. Step 4: Simplify right side
    1,229.24x = 920,237.98
  5. Step 5: Solve for x
    x = 920,237.98/1,229.24
  6. Step 6: Final answer
    x = 748.62

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