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Finding the Fourth Proportional to 774.17, 1,067.31 and 584.29

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Solution

The fourth proportional to 774.17, 1,067.31 and 584.29 is: 805.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.17 : 1,067.31 = 584.29 : x
  2. Step 2: Convert to fraction form
    774.17/1,067.31 = 584.29/x
  3. Step 3: Cross multiply
    774.17x = 1,067.31 × 584.29
  4. Step 4: Simplify right side
    774.17x = 623,610.30
  5. Step 5: Solve for x
    x = 623,610.30/774.17
  6. Step 6: Final answer
    x = 805.52

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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.