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Finding the Fourth Proportional to 1,589.43, 2,383.64 and 664.82

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Solution

The fourth proportional to 1,589.43, 2,383.64 and 664.82 is: 997.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.43 : 2,383.64 = 664.82 : x
  2. Step 2: Convert to fraction form
    1,589.43/2,383.64 = 664.82/x
  3. Step 3: Cross multiply
    1,589.43x = 2,383.64 × 664.82
  4. Step 4: Simplify right side
    1,589.43x = 1,584,676.30
  5. Step 5: Solve for x
    x = 1,584,676.30/1,589.43
  6. Step 6: Final answer
    x = 997.01

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