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Finding the Fourth Proportional to 1,041.14, 1,559.61 and 493.85

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Solution

The fourth proportional to 1,041.14, 1,559.61 and 493.85 is: 739.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.14 : 1,559.61 = 493.85 : x
  2. Step 2: Convert to fraction form
    1,041.14/1,559.61 = 493.85/x
  3. Step 3: Cross multiply
    1,041.14x = 1,559.61 × 493.85
  4. Step 4: Simplify right side
    1,041.14x = 770,205.60
  5. Step 5: Solve for x
    x = 770,205.60/1,041.14
  6. Step 6: Final answer
    x = 739.77

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