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Finding the Fourth Proportional to 820.43, 1,229.48 and 576.45

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Solution

The fourth proportional to 820.43, 1,229.48 and 576.45 is: 863.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.43 : 1,229.48 = 576.45 : x
  2. Step 2: Convert to fraction form
    820.43/1,229.48 = 576.45/x
  3. Step 3: Cross multiply
    820.43x = 1,229.48 × 576.45
  4. Step 4: Simplify right side
    820.43x = 708,730.86
  5. Step 5: Solve for x
    x = 708,730.86/820.43
  6. Step 6: Final answer
    x = 863.86

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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.