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Finding the Fourth Proportional to 803.81, 1,205.75 and 226.69

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Solution

The fourth proportional to 803.81, 1,205.75 and 226.69 is: 340.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.81 : 1,205.75 = 226.69 : x
  2. Step 2: Convert to fraction form
    803.81/1,205.75 = 226.69/x
  3. Step 3: Cross multiply
    803.81x = 1,205.75 × 226.69
  4. Step 4: Simplify right side
    803.81x = 273,329.02
  5. Step 5: Solve for x
    x = 273,329.02/803.81
  6. Step 6: Final answer
    x = 340.04

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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.