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Finding the Fourth Proportional to 773.49, 1,067.42 and 424.17

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Solution

The fourth proportional to 773.49, 1,067.42 and 424.17 is: 585.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.49 : 1,067.42 = 424.17 : x
  2. Step 2: Convert to fraction form
    773.49/1,067.42 = 424.17/x
  3. Step 3: Cross multiply
    773.49x = 1,067.42 × 424.17
  4. Step 4: Simplify right side
    773.49x = 452,765.42
  5. Step 5: Solve for x
    x = 452,765.42/773.49
  6. Step 6: Final answer
    x = 585.35

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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.