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Finding the Fourth Proportional to 803.75, 1,205.61 and 255.97

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Solution

The fourth proportional to 803.75, 1,205.61 and 255.97 is: 383.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.75 : 1,205.61 = 255.97 : x
  2. Step 2: Convert to fraction form
    803.75/1,205.61 = 255.97/x
  3. Step 3: Cross multiply
    803.75x = 1,205.61 × 255.97
  4. Step 4: Simplify right side
    803.75x = 308,604.65
  5. Step 5: Solve for x
    x = 308,604.65/803.75
  6. Step 6: Final answer
    x = 383.96

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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.