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Finding the Fourth Proportional to 1,273.39, 1,910.10 and 451.21

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Solution

The fourth proportional to 1,273.39, 1,910.10 and 451.21 is: 676.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.39 : 1,910.10 = 451.21 : x
  2. Step 2: Convert to fraction form
    1,273.39/1,910.10 = 451.21/x
  3. Step 3: Cross multiply
    1,273.39x = 1,910.10 × 451.21
  4. Step 4: Simplify right side
    1,273.39x = 861,856.22
  5. Step 5: Solve for x
    x = 861,856.22/1,273.39
  6. Step 6: Final answer
    x = 676.82

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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.