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Finding the Fourth Proportional to 772.25, 1,065.73 and 422.96

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Solution

The fourth proportional to 772.25, 1,065.73 and 422.96 is: 583.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.25 : 1,065.73 = 422.96 : x
  2. Step 2: Convert to fraction form
    772.25/1,065.73 = 422.96/x
  3. Step 3: Cross multiply
    772.25x = 1,065.73 × 422.96
  4. Step 4: Simplify right side
    772.25x = 450,761.16
  5. Step 5: Solve for x
    x = 450,761.16/772.25
  6. Step 6: Final answer
    x = 583.70

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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.