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Finding the Fourth Proportional to 1,320.40, 1,978.20 and 806.80

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Solution

The fourth proportional to 1,320.40, 1,978.20 and 806.80 is: 1,208.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.40 : 1,978.20 = 806.80 : x
  2. Step 2: Convert to fraction form
    1,320.40/1,978.20 = 806.80/x
  3. Step 3: Cross multiply
    1,320.40x = 1,978.20 × 806.80
  4. Step 4: Simplify right side
    1,320.40x = 1,596,011.76
  5. Step 5: Solve for x
    x = 1,596,011.76/1,320.40
  6. Step 6: Final answer
    x = 1,208.73

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