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Finding the Fourth Proportional to 1,192.06, 1,787.19 and 643.78

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Solution

The fourth proportional to 1,192.06, 1,787.19 and 643.78 is: 965.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.06 : 1,787.19 = 643.78 : x
  2. Step 2: Convert to fraction form
    1,192.06/1,787.19 = 643.78/x
  3. Step 3: Cross multiply
    1,192.06x = 1,787.19 × 643.78
  4. Step 4: Simplify right side
    1,192.06x = 1,150,557.18
  5. Step 5: Solve for x
    x = 1,150,557.18/1,192.06
  6. Step 6: Final answer
    x = 965.18

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