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Finding the Fourth Proportional to 1,121.50, 1,682.25 and 299.86

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Solution

The fourth proportional to 1,121.50, 1,682.25 and 299.86 is: 449.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.50 : 1,682.25 = 299.86 : x
  2. Step 2: Convert to fraction form
    1,121.50/1,682.25 = 299.86/x
  3. Step 3: Cross multiply
    1,121.50x = 1,682.25 × 299.86
  4. Step 4: Simplify right side
    1,121.50x = 504,439.49
  5. Step 5: Solve for x
    x = 504,439.49/1,121.50
  6. Step 6: Final answer
    x = 449.79

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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.