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Finding the Fourth Proportional to 1,264.28, 1,896.42 and 398.66

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Solution

The fourth proportional to 1,264.28, 1,896.42 and 398.66 is: 597.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.28 : 1,896.42 = 398.66 : x
  2. Step 2: Convert to fraction form
    1,264.28/1,896.42 = 398.66/x
  3. Step 3: Cross multiply
    1,264.28x = 1,896.42 × 398.66
  4. Step 4: Simplify right side
    1,264.28x = 756,017.69
  5. Step 5: Solve for x
    x = 756,017.69/1,264.28
  6. Step 6: Final answer
    x = 597.98

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