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Finding the Fourth Proportional to 1,371.89, 2,057.31 and 447.23

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Solution

The fourth proportional to 1,371.89, 2,057.31 and 447.23 is: 670.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.89 : 2,057.31 = 447.23 : x
  2. Step 2: Convert to fraction form
    1,371.89/2,057.31 = 447.23/x
  3. Step 3: Cross multiply
    1,371.89x = 2,057.31 × 447.23
  4. Step 4: Simplify right side
    1,371.89x = 920,080.46
  5. Step 5: Solve for x
    x = 920,080.46/1,371.89
  6. Step 6: Final answer
    x = 670.67

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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.