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Finding the Fourth Proportional to 772.09, 1,065.47 and 422.78

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Solution

The fourth proportional to 772.09, 1,065.47 and 422.78 is: 583.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.09 : 1,065.47 = 422.78 : x
  2. Step 2: Convert to fraction form
    772.09/1,065.47 = 422.78/x
  3. Step 3: Cross multiply
    772.09x = 1,065.47 × 422.78
  4. Step 4: Simplify right side
    772.09x = 450,451.97
  5. Step 5: Solve for x
    x = 450,451.97/772.09
  6. Step 6: Final answer
    x = 583.42

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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.