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Finding the Fourth Proportional to 1,096.92, 1,640.61 and 633.56

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Solution

The fourth proportional to 1,096.92, 1,640.61 and 633.56 is: 947.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.92 : 1,640.61 = 633.56 : x
  2. Step 2: Convert to fraction form
    1,096.92/1,640.61 = 633.56/x
  3. Step 3: Cross multiply
    1,096.92x = 1,640.61 × 633.56
  4. Step 4: Simplify right side
    1,096.92x = 1,039,416.67
  5. Step 5: Solve for x
    x = 1,039,416.67/1,096.92
  6. Step 6: Final answer
    x = 947.58

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