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Finding the Fourth Proportional to 1,211.75, 1,817.63 and 299.75

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Solution

The fourth proportional to 1,211.75, 1,817.63 and 299.75 is: 449.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.75 : 1,817.63 = 299.75 : x
  2. Step 2: Convert to fraction form
    1,211.75/1,817.63 = 299.75/x
  3. Step 3: Cross multiply
    1,211.75x = 1,817.63 × 299.75
  4. Step 4: Simplify right side
    1,211.75x = 544,833.09
  5. Step 5: Solve for x
    x = 544,833.09/1,211.75
  6. Step 6: Final answer
    x = 449.63

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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.