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Finding the Fourth Proportional to 820.14, 1,229.82 and 299.77

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Solution

The fourth proportional to 820.14, 1,229.82 and 299.77 is: 449.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.14 : 1,229.82 = 299.77 : x
  2. Step 2: Convert to fraction form
    820.14/1,229.82 = 299.77/x
  3. Step 3: Cross multiply
    820.14x = 1,229.82 × 299.77
  4. Step 4: Simplify right side
    820.14x = 368,663.14
  5. Step 5: Solve for x
    x = 368,663.14/820.14
  6. Step 6: Final answer
    x = 449.51

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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.