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Finding the Fourth Proportional to 1,386.06, 2,077.80 and 519.78

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Solution

The fourth proportional to 1,386.06, 2,077.80 and 519.78 is: 779.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.06 : 2,077.80 = 519.78 : x
  2. Step 2: Convert to fraction form
    1,386.06/2,077.80 = 519.78/x
  3. Step 3: Cross multiply
    1,386.06x = 2,077.80 × 519.78
  4. Step 4: Simplify right side
    1,386.06x = 1,079,998.88
  5. Step 5: Solve for x
    x = 1,079,998.88/1,386.06
  6. Step 6: Final answer
    x = 779.19

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