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Finding the Fourth Proportional to 773.73, 1,067.75 and 419.66

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Solution

The fourth proportional to 773.73, 1,067.75 and 419.66 is: 579.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.73 : 1,067.75 = 419.66 : x
  2. Step 2: Convert to fraction form
    773.73/1,067.75 = 419.66/x
  3. Step 3: Cross multiply
    773.73x = 1,067.75 × 419.66
  4. Step 4: Simplify right side
    773.73x = 448,084.53
  5. Step 5: Solve for x
    x = 448,084.53/773.73
  6. Step 6: Final answer
    x = 579.12

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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.