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Finding the Fourth Proportional to 773.25, 1,067.09 and 423.94

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Solution

The fourth proportional to 773.25, 1,067.09 and 423.94 is: 585.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.25 : 1,067.09 = 423.94 : x
  2. Step 2: Convert to fraction form
    773.25/1,067.09 = 423.94/x
  3. Step 3: Cross multiply
    773.25x = 1,067.09 × 423.94
  4. Step 4: Simplify right side
    773.25x = 452,382.13
  5. Step 5: Solve for x
    x = 452,382.13/773.25
  6. Step 6: Final answer
    x = 585.04

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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.