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Finding the Fourth Proportional to 1,121.72, 1,680.72 and 1,027.22

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Solution

The fourth proportional to 1,121.72, 1,680.72 and 1,027.22 is: 1,539.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.72 : 1,680.72 = 1,027.22 : x
  2. Step 2: Convert to fraction form
    1,121.72/1,680.72 = 1,027.22/x
  3. Step 3: Cross multiply
    1,121.72x = 1,680.72 × 1,027.22
  4. Step 4: Simplify right side
    1,121.72x = 1,726,456.94
  5. Step 5: Solve for x
    x = 1,726,456.94/1,121.72
  6. Step 6: Final answer
    x = 1,539.12

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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.