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Finding the Fourth Proportional to 819.32, 1,228.70 and 472.58

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Solution

The fourth proportional to 819.32, 1,228.70 and 472.58 is: 708.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.32 : 1,228.70 = 472.58 : x
  2. Step 2: Convert to fraction form
    819.32/1,228.70 = 472.58/x
  3. Step 3: Cross multiply
    819.32x = 1,228.70 × 472.58
  4. Step 4: Simplify right side
    819.32x = 580,659.05
  5. Step 5: Solve for x
    x = 580,659.05/819.32
  6. Step 6: Final answer
    x = 708.71

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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.