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Finding the Fourth Proportional to 699.75, 1,049.81 and 267.03

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Solution

The fourth proportional to 699.75, 1,049.81 and 267.03 is: 400.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.75 : 1,049.81 = 267.03 : x
  2. Step 2: Convert to fraction form
    699.75/1,049.81 = 267.03/x
  3. Step 3: Cross multiply
    699.75x = 1,049.81 × 267.03
  4. Step 4: Simplify right side
    699.75x = 280,329.43
  5. Step 5: Solve for x
    x = 280,329.43/699.75
  6. Step 6: Final answer
    x = 400.61

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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.