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Finding the Fourth Proportional to 1,282.11, 1,770.14 and 834.39

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Solution

The fourth proportional to 1,282.11, 1,770.14 and 834.39 is: 1,151.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.11 : 1,770.14 = 834.39 : x
  2. Step 2: Convert to fraction form
    1,282.11/1,770.14 = 834.39/x
  3. Step 3: Cross multiply
    1,282.11x = 1,770.14 × 834.39
  4. Step 4: Simplify right side
    1,282.11x = 1,476,982.94
  5. Step 5: Solve for x
    x = 1,476,982.94/1,282.11
  6. Step 6: Final answer
    x = 1,151.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.