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Finding the Fourth Proportional to 822.25, 1,231.68 and 657.97

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Solution

The fourth proportional to 822.25, 1,231.68 and 657.97 is: 985.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.25 : 1,231.68 = 657.97 : x
  2. Step 2: Convert to fraction form
    822.25/1,231.68 = 657.97/x
  3. Step 3: Cross multiply
    822.25x = 1,231.68 × 657.97
  4. Step 4: Simplify right side
    822.25x = 810,408.49
  5. Step 5: Solve for x
    x = 810,408.49/822.25
  6. Step 6: Final answer
    x = 985.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.