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Finding the Fourth Proportional to 829.85, 1,245.38 and 822.56

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Solution

The fourth proportional to 829.85, 1,245.38 and 822.56 is: 1,234.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.85 : 1,245.38 = 822.56 : x
  2. Step 2: Convert to fraction form
    829.85/1,245.38 = 822.56/x
  3. Step 3: Cross multiply
    829.85x = 1,245.38 × 822.56
  4. Step 4: Simplify right side
    829.85x = 1,024,389.43
  5. Step 5: Solve for x
    x = 1,024,389.43/829.85
  6. Step 6: Final answer
    x = 1,234.43

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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.