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Finding the Fourth Proportional to 1,227.16, 1,841.52 and 447.09

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Solution

The fourth proportional to 1,227.16, 1,841.52 and 447.09 is: 670.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.16 : 1,841.52 = 447.09 : x
  2. Step 2: Convert to fraction form
    1,227.16/1,841.52 = 447.09/x
  3. Step 3: Cross multiply
    1,227.16x = 1,841.52 × 447.09
  4. Step 4: Simplify right side
    1,227.16x = 823,317.43
  5. Step 5: Solve for x
    x = 823,317.43/1,227.16
  6. Step 6: Final answer
    x = 670.91

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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.