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Finding the Fourth Proportional to 1,583.85, 2,375.83 and 659.44

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Solution

The fourth proportional to 1,583.85, 2,375.83 and 659.44 is: 989.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.85 : 2,375.83 = 659.44 : x
  2. Step 2: Convert to fraction form
    1,583.85/2,375.83 = 659.44/x
  3. Step 3: Cross multiply
    1,583.85x = 2,375.83 × 659.44
  4. Step 4: Simplify right side
    1,583.85x = 1,566,721.13
  5. Step 5: Solve for x
    x = 1,566,721.13/1,583.85
  6. Step 6: Final answer
    x = 989.18

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