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Finding the Fourth Proportional to 772.27, 1,065.73 and 422.98

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Solution

The fourth proportional to 772.27, 1,065.73 and 422.98 is: 583.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.27 : 1,065.73 = 422.98 : x
  2. Step 2: Convert to fraction form
    772.27/1,065.73 = 422.98/x
  3. Step 3: Cross multiply
    772.27x = 1,065.73 × 422.98
  4. Step 4: Simplify right side
    772.27x = 450,782.48
  5. Step 5: Solve for x
    x = 450,782.48/772.27
  6. Step 6: Final answer
    x = 583.71

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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.