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Finding the Fourth Proportional to 803.89, 1,205.83 and 226.76

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Solution

The fourth proportional to 803.89, 1,205.83 and 226.76 is: 340.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.89 : 1,205.83 = 226.76 : x
  2. Step 2: Convert to fraction form
    803.89/1,205.83 = 226.76/x
  3. Step 3: Cross multiply
    803.89x = 1,205.83 × 226.76
  4. Step 4: Simplify right side
    803.89x = 273,434.01
  5. Step 5: Solve for x
    x = 273,434.01/803.89
  6. Step 6: Final answer
    x = 340.14

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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.