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Finding the Fourth Proportional to 1,371.67, 2,057.46 and 447.22

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Solution

The fourth proportional to 1,371.67, 2,057.46 and 447.22 is: 670.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.67 : 2,057.46 = 447.22 : x
  2. Step 2: Convert to fraction form
    1,371.67/2,057.46 = 447.22/x
  3. Step 3: Cross multiply
    1,371.67x = 2,057.46 × 447.22
  4. Step 4: Simplify right side
    1,371.67x = 920,137.26
  5. Step 5: Solve for x
    x = 920,137.26/1,371.67
  6. Step 6: Final answer
    x = 670.82

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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.