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Finding the Fourth Proportional to 819.08, 1,228.93 and 380.54

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Solution

The fourth proportional to 819.08, 1,228.93 and 380.54 is: 570.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.08 : 1,228.93 = 380.54 : x
  2. Step 2: Convert to fraction form
    819.08/1,228.93 = 380.54/x
  3. Step 3: Cross multiply
    819.08x = 1,228.93 × 380.54
  4. Step 4: Simplify right side
    819.08x = 467,657.02
  5. Step 5: Solve for x
    x = 467,657.02/819.08
  6. Step 6: Final answer
    x = 570.95

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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.