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Finding the Fourth Proportional to 773.84, 1,067.93 and 442.18

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Solution

The fourth proportional to 773.84, 1,067.93 and 442.18 is: 610.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.84 : 1,067.93 = 442.18 : x
  2. Step 2: Convert to fraction form
    773.84/1,067.93 = 442.18/x
  3. Step 3: Cross multiply
    773.84x = 1,067.93 × 442.18
  4. Step 4: Simplify right side
    773.84x = 472,217.29
  5. Step 5: Solve for x
    x = 472,217.29/773.84
  6. Step 6: Final answer
    x = 610.23

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Why These Related Problems?

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