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Finding the Fourth Proportional to 1,738.31, 2,605.83 and 583.25

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Solution

The fourth proportional to 1,738.31, 2,605.83 and 583.25 is: 874.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.31 : 2,605.83 = 583.25 : x
  2. Step 2: Convert to fraction form
    1,738.31/2,605.83 = 583.25/x
  3. Step 3: Cross multiply
    1,738.31x = 2,605.83 × 583.25
  4. Step 4: Simplify right side
    1,738.31x = 1,519,850.35
  5. Step 5: Solve for x
    x = 1,519,850.35/1,738.31
  6. Step 6: Final answer
    x = 874.33

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