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Finding the Fourth Proportional to 1,314.81, 1,972.44 and 493.20

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Solution

The fourth proportional to 1,314.81, 1,972.44 and 493.20 is: 739.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.81 : 1,972.44 = 493.20 : x
  2. Step 2: Convert to fraction form
    1,314.81/1,972.44 = 493.20/x
  3. Step 3: Cross multiply
    1,314.81x = 1,972.44 × 493.20
  4. Step 4: Simplify right side
    1,314.81x = 972,807.41
  5. Step 5: Solve for x
    x = 972,807.41/1,314.81
  6. Step 6: Final answer
    x = 739.88

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