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Finding the Fourth Proportional to 699.38, 1,049.37 and 266.84

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Solution

The fourth proportional to 699.38, 1,049.37 and 266.84 is: 400.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.38 : 1,049.37 = 266.84 : x
  2. Step 2: Convert to fraction form
    699.38/1,049.37 = 266.84/x
  3. Step 3: Cross multiply
    699.38x = 1,049.37 × 266.84
  4. Step 4: Simplify right side
    699.38x = 280,008.64
  5. Step 5: Solve for x
    x = 280,008.64/699.38
  6. Step 6: Final answer
    x = 400.37

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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.