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Finding the Fourth Proportional to 818.92, 1,227.66 and 298.81

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Solution

The fourth proportional to 818.92, 1,227.66 and 298.81 is: 447.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.92 : 1,227.66 = 298.81 : x
  2. Step 2: Convert to fraction form
    818.92/1,227.66 = 298.81/x
  3. Step 3: Cross multiply
    818.92x = 1,227.66 × 298.81
  4. Step 4: Simplify right side
    818.92x = 366,837.08
  5. Step 5: Solve for x
    x = 366,837.08/818.92
  6. Step 6: Final answer
    x = 447.95

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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.