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Finding the Fourth Proportional to 773.56, 1,067.48 and 424.24

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Solution

The fourth proportional to 773.56, 1,067.48 and 424.24 is: 585.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.56 : 1,067.48 = 424.24 : x
  2. Step 2: Convert to fraction form
    773.56/1,067.48 = 424.24/x
  3. Step 3: Cross multiply
    773.56x = 1,067.48 × 424.24
  4. Step 4: Simplify right side
    773.56x = 452,860.26
  5. Step 5: Solve for x
    x = 452,860.26/773.56
  6. Step 6: Final answer
    x = 585.43

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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.