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Finding the Fourth Proportional to 820.64, 1,231.26 and 333.74

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Solution

The fourth proportional to 820.64, 1,231.26 and 333.74 is: 500.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.64 : 1,231.26 = 333.74 : x
  2. Step 2: Convert to fraction form
    820.64/1,231.26 = 333.74/x
  3. Step 3: Cross multiply
    820.64x = 1,231.26 × 333.74
  4. Step 4: Simplify right side
    820.64x = 410,920.71
  5. Step 5: Solve for x
    x = 410,920.71/820.64
  6. Step 6: Final answer
    x = 500.73

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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.