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Finding the Fourth Proportional to 1,267.22, 1,900.83 and 445.49

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Solution

The fourth proportional to 1,267.22, 1,900.83 and 445.49 is: 668.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.22 : 1,900.83 = 445.49 : x
  2. Step 2: Convert to fraction form
    1,267.22/1,900.83 = 445.49/x
  3. Step 3: Cross multiply
    1,267.22x = 1,900.83 × 445.49
  4. Step 4: Simplify right side
    1,267.22x = 846,791.25
  5. Step 5: Solve for x
    x = 846,791.25/1,267.22
  6. Step 6: Final answer
    x = 668.23

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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.