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Finding the Fourth Proportional to 1,338.14, 2,006.82 and 516.22

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Solution

The fourth proportional to 1,338.14, 2,006.82 and 516.22 is: 774.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.14 : 2,006.82 = 516.22 : x
  2. Step 2: Convert to fraction form
    1,338.14/2,006.82 = 516.22/x
  3. Step 3: Cross multiply
    1,338.14x = 2,006.82 × 516.22
  4. Step 4: Simplify right side
    1,338.14x = 1,035,956.97
  5. Step 5: Solve for x
    x = 1,035,956.97/1,338.14
  6. Step 6: Final answer
    x = 774.18

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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.