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Finding the Fourth Proportional to 1,213.06, 1,819.86 and 519.73

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Solution

The fourth proportional to 1,213.06, 1,819.86 and 519.73 is: 779.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.06 : 1,819.86 = 519.73 : x
  2. Step 2: Convert to fraction form
    1,213.06/1,819.86 = 519.73/x
  3. Step 3: Cross multiply
    1,213.06x = 1,819.86 × 519.73
  4. Step 4: Simplify right side
    1,213.06x = 945,835.84
  5. Step 5: Solve for x
    x = 945,835.84/1,213.06
  6. Step 6: Final answer
    x = 779.71

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