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Finding the Fourth Proportional to 1,268.24, 1,899.05 and 1,020.24

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Solution

The fourth proportional to 1,268.24, 1,899.05 and 1,020.24 is: 1,527.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.24 : 1,899.05 = 1,020.24 : x
  2. Step 2: Convert to fraction form
    1,268.24/1,899.05 = 1,020.24/x
  3. Step 3: Cross multiply
    1,268.24x = 1,899.05 × 1,020.24
  4. Step 4: Simplify right side
    1,268.24x = 1,937,481.67
  5. Step 5: Solve for x
    x = 1,937,481.67/1,268.24
  6. Step 6: Final answer
    x = 1,527.70

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