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Finding the Fourth Proportional to 1,291.73, 1,936.06 and 742.78

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Solution

The fourth proportional to 1,291.73, 1,936.06 and 742.78 is: 1,113.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.73 : 1,936.06 = 742.78 : x
  2. Step 2: Convert to fraction form
    1,291.73/1,936.06 = 742.78/x
  3. Step 3: Cross multiply
    1,291.73x = 1,936.06 × 742.78
  4. Step 4: Simplify right side
    1,291.73x = 1,438,075.16
  5. Step 5: Solve for x
    x = 1,438,075.16/1,291.73
  6. Step 6: Final answer
    x = 1,113.29

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