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Finding the Fourth Proportional to 774.56, 1,067.82 and 617.72

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Solution

The fourth proportional to 774.56, 1,067.82 and 617.72 is: 851.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.56 : 1,067.82 = 617.72 : x
  2. Step 2: Convert to fraction form
    774.56/1,067.82 = 617.72/x
  3. Step 3: Cross multiply
    774.56x = 1,067.82 × 617.72
  4. Step 4: Simplify right side
    774.56x = 659,613.77
  5. Step 5: Solve for x
    x = 659,613.77/774.56
  6. Step 6: Final answer
    x = 851.60

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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.