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Finding the Fourth Proportional to 1,273.31, 1,910.04 and 451.67

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Solution

The fourth proportional to 1,273.31, 1,910.04 and 451.67 is: 677.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.31 : 1,910.04 = 451.67 : x
  2. Step 2: Convert to fraction form
    1,273.31/1,910.04 = 451.67/x
  3. Step 3: Cross multiply
    1,273.31x = 1,910.04 × 451.67
  4. Step 4: Simplify right side
    1,273.31x = 862,705.51
  5. Step 5: Solve for x
    x = 862,705.51/1,273.31
  6. Step 6: Final answer
    x = 677.53

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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.