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Finding the Fourth Proportional to 820.25, 1,229.66 and 299.96

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Solution

The fourth proportional to 820.25, 1,229.66 and 299.96 is: 449.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.25 : 1,229.66 = 299.96 : x
  2. Step 2: Convert to fraction form
    820.25/1,229.66 = 299.96/x
  3. Step 3: Cross multiply
    820.25x = 1,229.66 × 299.96
  4. Step 4: Simplify right side
    820.25x = 368,848.81
  5. Step 5: Solve for x
    x = 368,848.81/820.25
  6. Step 6: Final answer
    x = 449.68

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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.