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Finding the Fourth Proportional to 1,664.55, 2,496.42 and 689.72

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Solution

The fourth proportional to 1,664.55, 2,496.42 and 689.72 is: 1,034.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.55 : 2,496.42 = 689.72 : x
  2. Step 2: Convert to fraction form
    1,664.55/2,496.42 = 689.72/x
  3. Step 3: Cross multiply
    1,664.55x = 2,496.42 × 689.72
  4. Step 4: Simplify right side
    1,664.55x = 1,721,818.32
  5. Step 5: Solve for x
    x = 1,721,818.32/1,664.55
  6. Step 6: Final answer
    x = 1,034.40

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