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Finding the Fourth Proportional to 806, 1,207.77 and 575.38

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Solution

The fourth proportional to 806, 1,207.77 and 575.38 is: 862.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    806 : 1,207.77 = 575.38 : x
  2. Step 2: Convert to fraction form
    806/1,207.77 = 575.38/x
  3. Step 3: Cross multiply
    806x = 1,207.77 × 575.38
  4. Step 4: Simplify right side
    806x = 694,920.66
  5. Step 5: Solve for x
    x = 694,920.66/806
  6. Step 6: Final answer
    x = 862.18

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