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Finding the Fourth Proportional to 1,227.72, 1,841.57 and 447.69

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Solution

The fourth proportional to 1,227.72, 1,841.57 and 447.69 is: 671.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.72 : 1,841.57 = 447.69 : x
  2. Step 2: Convert to fraction form
    1,227.72/1,841.57 = 447.69/x
  3. Step 3: Cross multiply
    1,227.72x = 1,841.57 × 447.69
  4. Step 4: Simplify right side
    1,227.72x = 824,450.23
  5. Step 5: Solve for x
    x = 824,450.23/1,227.72
  6. Step 6: Final answer
    x = 671.53

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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.