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Finding the Fourth Proportional to 1,200.38, 1,799.64 and 583.61

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Solution

The fourth proportional to 1,200.38, 1,799.64 and 583.61 is: 874.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.38 : 1,799.64 = 583.61 : x
  2. Step 2: Convert to fraction form
    1,200.38/1,799.64 = 583.61/x
  3. Step 3: Cross multiply
    1,200.38x = 1,799.64 × 583.61
  4. Step 4: Simplify right side
    1,200.38x = 1,050,278.90
  5. Step 5: Solve for x
    x = 1,050,278.90/1,200.38
  6. Step 6: Final answer
    x = 874.96

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