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Finding the Fourth Proportional to 822.87, 1,234.27 and 206.56

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Solution

The fourth proportional to 822.87, 1,234.27 and 206.56 is: 309.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.87 : 1,234.27 = 206.56 : x
  2. Step 2: Convert to fraction form
    822.87/1,234.27 = 206.56/x
  3. Step 3: Cross multiply
    822.87x = 1,234.27 × 206.56
  4. Step 4: Simplify right side
    822.87x = 254,956.02
  5. Step 5: Solve for x
    x = 254,956.02/822.87
  6. Step 6: Final answer
    x = 309.84

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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.