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Finding the Fourth Proportional to 1,269.92, 1,902.17 and 721.82

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Solution

The fourth proportional to 1,269.92, 1,902.17 and 721.82 is: 1,081.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.92 : 1,902.17 = 721.82 : x
  2. Step 2: Convert to fraction form
    1,269.92/1,902.17 = 721.82/x
  3. Step 3: Cross multiply
    1,269.92x = 1,902.17 × 721.82
  4. Step 4: Simplify right side
    1,269.92x = 1,373,014.84
  5. Step 5: Solve for x
    x = 1,373,014.84/1,269.92
  6. Step 6: Final answer
    x = 1,081.19

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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.