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Finding the Fourth Proportional to 773.36, 1,067.23 and 419.29

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Solution

The fourth proportional to 773.36, 1,067.23 and 419.29 is: 578.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.36 : 1,067.23 = 419.29 : x
  2. Step 2: Convert to fraction form
    773.36/1,067.23 = 419.29/x
  3. Step 3: Cross multiply
    773.36x = 1,067.23 × 419.29
  4. Step 4: Simplify right side
    773.36x = 447,480.90
  5. Step 5: Solve for x
    x = 447,480.90/773.36
  6. Step 6: Final answer
    x = 578.62

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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.