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Finding the Fourth Proportional to 1,267.10, 1,899.66 and 445.22

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Solution

The fourth proportional to 1,267.10, 1,899.66 and 445.22 is: 667.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.10 : 1,899.66 = 445.22 : x
  2. Step 2: Convert to fraction form
    1,267.10/1,899.66 = 445.22/x
  3. Step 3: Cross multiply
    1,267.10x = 1,899.66 × 445.22
  4. Step 4: Simplify right side
    1,267.10x = 845,766.63
  5. Step 5: Solve for x
    x = 845,766.63/1,267.10
  6. Step 6: Final answer
    x = 667.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.