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Finding the Fourth Proportional to 822.22, 1,231.75 and 647.97

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Solution

The fourth proportional to 822.22, 1,231.75 and 647.97 is: 970.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.22 : 1,231.75 = 647.97 : x
  2. Step 2: Convert to fraction form
    822.22/1,231.75 = 647.97/x
  3. Step 3: Cross multiply
    822.22x = 1,231.75 × 647.97
  4. Step 4: Simplify right side
    822.22x = 798,137.05
  5. Step 5: Solve for x
    x = 798,137.05/822.22
  6. Step 6: Final answer
    x = 970.71

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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.