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Finding the Fourth Proportional to 1,420.92, 2,131.44 and 447.03

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Solution

The fourth proportional to 1,420.92, 2,131.44 and 447.03 is: 670.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.92 : 2,131.44 = 447.03 : x
  2. Step 2: Convert to fraction form
    1,420.92/2,131.44 = 447.03/x
  3. Step 3: Cross multiply
    1,420.92x = 2,131.44 × 447.03
  4. Step 4: Simplify right side
    1,420.92x = 952,817.62
  5. Step 5: Solve for x
    x = 952,817.62/1,420.92
  6. Step 6: Final answer
    x = 670.56

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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.