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Finding the Fourth Proportional to 773.66, 1,067.69 and 424.34

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Solution

The fourth proportional to 773.66, 1,067.69 and 424.34 is: 585.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.66 : 1,067.69 = 424.34 : x
  2. Step 2: Convert to fraction form
    773.66/1,067.69 = 424.34/x
  3. Step 3: Cross multiply
    773.66x = 1,067.69 × 424.34
  4. Step 4: Simplify right side
    773.66x = 453,067.30
  5. Step 5: Solve for x
    x = 453,067.30/773.66
  6. Step 6: Final answer
    x = 585.62

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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.