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Finding the Fourth Proportional to 800.04, 1,198.70 and 567.78

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Solution

The fourth proportional to 800.04, 1,198.70 and 567.78 is: 850.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.04 : 1,198.70 = 567.78 : x
  2. Step 2: Convert to fraction form
    800.04/1,198.70 = 567.78/x
  3. Step 3: Cross multiply
    800.04x = 1,198.70 × 567.78
  4. Step 4: Simplify right side
    800.04x = 680,597.89
  5. Step 5: Solve for x
    x = 680,597.89/800.04
  6. Step 6: Final answer
    x = 850.70

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