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Finding the Fourth Proportional to 1,018.92, 1,523.94 and 1,005.96

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Solution

The fourth proportional to 1,018.92, 1,523.94 and 1,005.96 is: 1,504.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.92 : 1,523.94 = 1,005.96 : x
  2. Step 2: Convert to fraction form
    1,018.92/1,523.94 = 1,005.96/x
  3. Step 3: Cross multiply
    1,018.92x = 1,523.94 × 1,005.96
  4. Step 4: Simplify right side
    1,018.92x = 1,533,022.68
  5. Step 5: Solve for x
    x = 1,533,022.68/1,018.92
  6. Step 6: Final answer
    x = 1,504.56

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