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Finding the Fourth Proportional to 1,664.00, 2,494.51 and 689.48

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Solution

The fourth proportional to 1,664.00, 2,494.51 and 689.48 is: 1,033.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.00 : 2,494.51 = 689.48 : x
  2. Step 2: Convert to fraction form
    1,664.00/2,494.51 = 689.48/x
  3. Step 3: Cross multiply
    1,664.00x = 2,494.51 × 689.48
  4. Step 4: Simplify right side
    1,664.00x = 1,719,900.56
  5. Step 5: Solve for x
    x = 1,719,900.56/1,664.00
  6. Step 6: Final answer
    x = 1,033.60

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