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Finding the Fourth Proportional to 699.50, 1,049.12 and 205.80

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Solution

The fourth proportional to 699.50, 1,049.12 and 205.80 is: 308.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.50 : 1,049.12 = 205.80 : x
  2. Step 2: Convert to fraction form
    699.50/1,049.12 = 205.80/x
  3. Step 3: Cross multiply
    699.50x = 1,049.12 × 205.80
  4. Step 4: Simplify right side
    699.50x = 215,907.87
  5. Step 5: Solve for x
    x = 215,907.87/699.50
  6. Step 6: Final answer
    x = 308.66

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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.