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Finding the Fourth Proportional to 1,273.78, 1,910.67 and 696.34

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Solution

The fourth proportional to 1,273.78, 1,910.67 and 696.34 is: 1,044.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.78 : 1,910.67 = 696.34 : x
  2. Step 2: Convert to fraction form
    1,273.78/1,910.67 = 696.34/x
  3. Step 3: Cross multiply
    1,273.78x = 1,910.67 × 696.34
  4. Step 4: Simplify right side
    1,273.78x = 1,330,475.95
  5. Step 5: Solve for x
    x = 1,330,475.95/1,273.78
  6. Step 6: Final answer
    x = 1,044.51

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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.