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Finding the Fourth Proportional to 822.74, 1,234.19 and 309.74

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Solution

The fourth proportional to 822.74, 1,234.19 and 309.74 is: 464.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.74 : 1,234.19 = 309.74 : x
  2. Step 2: Convert to fraction form
    822.74/1,234.19 = 309.74/x
  3. Step 3: Cross multiply
    822.74x = 1,234.19 × 309.74
  4. Step 4: Simplify right side
    822.74x = 382,278.01
  5. Step 5: Solve for x
    x = 382,278.01/822.74
  6. Step 6: Final answer
    x = 464.64

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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.