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Finding the Fourth Proportional to 1,107.38, 1,657.86 and 643.75

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Solution

The fourth proportional to 1,107.38, 1,657.86 and 643.75 is: 963.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.38 : 1,657.86 = 643.75 : x
  2. Step 2: Convert to fraction form
    1,107.38/1,657.86 = 643.75/x
  3. Step 3: Cross multiply
    1,107.38x = 1,657.86 × 643.75
  4. Step 4: Simplify right side
    1,107.38x = 1,067,243.69
  5. Step 5: Solve for x
    x = 1,067,243.69/1,107.38
  6. Step 6: Final answer
    x = 963.75

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