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Finding the Fourth Proportional to 773.49, 1,067.40 and 419.41

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Solution

The fourth proportional to 773.49, 1,067.40 and 419.41 is: 578.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.49 : 1,067.40 = 419.41 : x
  2. Step 2: Convert to fraction form
    773.49/1,067.40 = 419.41/x
  3. Step 3: Cross multiply
    773.49x = 1,067.40 × 419.41
  4. Step 4: Simplify right side
    773.49x = 447,678.23
  5. Step 5: Solve for x
    x = 447,678.23/773.49
  6. Step 6: Final answer
    x = 578.78

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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.