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Finding the Fourth Proportional to 773.60, 1,067.60 and 424.30

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Solution

The fourth proportional to 773.60, 1,067.60 and 424.30 is: 585.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.60 : 1,067.60 = 424.30 : x
  2. Step 2: Convert to fraction form
    773.60/1,067.60 = 424.30/x
  3. Step 3: Cross multiply
    773.60x = 1,067.60 × 424.30
  4. Step 4: Simplify right side
    773.60x = 452,982.68
  5. Step 5: Solve for x
    x = 452,982.68/773.60
  6. Step 6: Final answer
    x = 585.55

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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.