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Finding the Fourth Proportional to 773.46, 1,067.35 and 419.36

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Solution

The fourth proportional to 773.46, 1,067.35 and 419.36 is: 578.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.46 : 1,067.35 = 419.36 : x
  2. Step 2: Convert to fraction form
    773.46/1,067.35 = 419.36/x
  3. Step 3: Cross multiply
    773.46x = 1,067.35 × 419.36
  4. Step 4: Simplify right side
    773.46x = 447,605.80
  5. Step 5: Solve for x
    x = 447,605.80/773.46
  6. Step 6: Final answer
    x = 578.71

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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.