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Finding the Fourth Proportional to 1,328.53, 1,991.99 and 506.86

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Solution

The fourth proportional to 1,328.53, 1,991.99 and 506.86 is: 759.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.53 : 1,991.99 = 506.86 : x
  2. Step 2: Convert to fraction form
    1,328.53/1,991.99 = 506.86/x
  3. Step 3: Cross multiply
    1,328.53x = 1,991.99 × 506.86
  4. Step 4: Simplify right side
    1,328.53x = 1,009,660.05
  5. Step 5: Solve for x
    x = 1,009,660.05/1,328.53
  6. Step 6: Final answer
    x = 759.99

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