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Finding the Fourth Proportional to 773.36, 1,067.50 and 616.28

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Solution

The fourth proportional to 773.36, 1,067.50 and 616.28 is: 850.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.36 : 1,067.50 = 616.28 : x
  2. Step 2: Convert to fraction form
    773.36/1,067.50 = 616.28/x
  3. Step 3: Cross multiply
    773.36x = 1,067.50 × 616.28
  4. Step 4: Simplify right side
    773.36x = 657,878.90
  5. Step 5: Solve for x
    x = 657,878.90/773.36
  6. Step 6: Final answer
    x = 850.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.