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Finding the Fourth Proportional to 803.79, 1,205.78 and 226.66

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Solution

The fourth proportional to 803.79, 1,205.78 and 226.66 is: 340.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.79 : 1,205.78 = 226.66 : x
  2. Step 2: Convert to fraction form
    803.79/1,205.78 = 226.66/x
  3. Step 3: Cross multiply
    803.79x = 1,205.78 × 226.66
  4. Step 4: Simplify right side
    803.79x = 273,300.96
  5. Step 5: Solve for x
    x = 273,300.96/803.79
  6. Step 6: Final answer
    x = 340.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.