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Finding the Fourth Proportional to 1,137.62, 1,704.85 and 519.78

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Solution

The fourth proportional to 1,137.62, 1,704.85 and 519.78 is: 778.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.62 : 1,704.85 = 519.78 : x
  2. Step 2: Convert to fraction form
    1,137.62/1,704.85 = 519.78/x
  3. Step 3: Cross multiply
    1,137.62x = 1,704.85 × 519.78
  4. Step 4: Simplify right side
    1,137.62x = 886,146.93
  5. Step 5: Solve for x
    x = 886,146.93/1,137.62
  6. Step 6: Final answer
    x = 778.95

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