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Finding the Fourth Proportional to 1,306.15, 1,958.22 and 721.39

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Solution

The fourth proportional to 1,306.15, 1,958.22 and 721.39 is: 1,081.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.15 : 1,958.22 = 721.39 : x
  2. Step 2: Convert to fraction form
    1,306.15/1,958.22 = 721.39/x
  3. Step 3: Cross multiply
    1,306.15x = 1,958.22 × 721.39
  4. Step 4: Simplify right side
    1,306.15x = 1,412,640.33
  5. Step 5: Solve for x
    x = 1,412,640.33/1,306.15
  6. Step 6: Final answer
    x = 1,081.53

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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.