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Finding the Fourth Proportional to 773.51, 1,067.44 and 419.43

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Solution

The fourth proportional to 773.51, 1,067.44 and 419.43 is: 578.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.51 : 1,067.44 = 419.43 : x
  2. Step 2: Convert to fraction form
    773.51/1,067.44 = 419.43/x
  3. Step 3: Cross multiply
    773.51x = 1,067.44 × 419.43
  4. Step 4: Simplify right side
    773.51x = 447,714.10
  5. Step 5: Solve for x
    x = 447,714.10/773.51
  6. Step 6: Final answer
    x = 578.81

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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.