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Finding the Fourth Proportional to 800.28, 1,200.42 and 475.74

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Solution

The fourth proportional to 800.28, 1,200.42 and 475.74 is: 713.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.28 : 1,200.42 = 475.74 : x
  2. Step 2: Convert to fraction form
    800.28/1,200.42 = 475.74/x
  3. Step 3: Cross multiply
    800.28x = 1,200.42 × 475.74
  4. Step 4: Simplify right side
    800.28x = 571,087.81
  5. Step 5: Solve for x
    x = 571,087.81/800.28
  6. Step 6: Final answer
    x = 713.61

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