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Finding the Fourth Proportional to 1,290.80, 1,927.46 and 1,013.78

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Solution

The fourth proportional to 1,290.80, 1,927.46 and 1,013.78 is: 1,513.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.80 : 1,927.46 = 1,013.78 : x
  2. Step 2: Convert to fraction form
    1,290.80/1,927.46 = 1,013.78/x
  3. Step 3: Cross multiply
    1,290.80x = 1,927.46 × 1,013.78
  4. Step 4: Simplify right side
    1,290.80x = 1,954,005.69
  5. Step 5: Solve for x
    x = 1,954,005.69/1,290.80
  6. Step 6: Final answer
    x = 1,513.80

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