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Finding the Fourth Proportional to 677.88, 1,015.20 and 496.44

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Solution

The fourth proportional to 677.88, 1,015.20 and 496.44 is: 743.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.88 : 1,015.20 = 496.44 : x
  2. Step 2: Convert to fraction form
    677.88/1,015.20 = 496.44/x
  3. Step 3: Cross multiply
    677.88x = 1,015.20 × 496.44
  4. Step 4: Simplify right side
    677.88x = 503,985.89
  5. Step 5: Solve for x
    x = 503,985.89/677.88
  6. Step 6: Final answer
    x = 743.47

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