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Finding the Fourth Proportional to 1,468.53, 2,203.20 and 494.78

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Solution

The fourth proportional to 1,468.53, 2,203.20 and 494.78 is: 742.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.53 : 2,203.20 = 494.78 : x
  2. Step 2: Convert to fraction form
    1,468.53/2,203.20 = 494.78/x
  3. Step 3: Cross multiply
    1,468.53x = 2,203.20 × 494.78
  4. Step 4: Simplify right side
    1,468.53x = 1,090,088.28
  5. Step 5: Solve for x
    x = 1,090,088.28/1,468.53
  6. Step 6: Final answer
    x = 742.30

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