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Finding the Fourth Proportional to 819.14, 1,228.32 and 298.77

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Solution

The fourth proportional to 819.14, 1,228.32 and 298.77 is: 448.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.14 : 1,228.32 = 298.77 : x
  2. Step 2: Convert to fraction form
    819.14/1,228.32 = 298.77/x
  3. Step 3: Cross multiply
    819.14x = 1,228.32 × 298.77
  4. Step 4: Simplify right side
    819.14x = 366,985.17
  5. Step 5: Solve for x
    x = 366,985.17/819.14
  6. Step 6: Final answer
    x = 448.02

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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.