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Finding the Fourth Proportional to 820.96, 1,228.20 and 576.88

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Solution

The fourth proportional to 820.96, 1,228.20 and 576.88 is: 863.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.96 : 1,228.20 = 576.88 : x
  2. Step 2: Convert to fraction form
    820.96/1,228.20 = 576.88/x
  3. Step 3: Cross multiply
    820.96x = 1,228.20 × 576.88
  4. Step 4: Simplify right side
    820.96x = 708,524.02
  5. Step 5: Solve for x
    x = 708,524.02/820.96
  6. Step 6: Final answer
    x = 863.04

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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.