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Finding the Fourth Proportional to 1,286.42, 1,775.25 and 696.95

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Solution

The fourth proportional to 1,286.42, 1,775.25 and 696.95 is: 961.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.42 : 1,775.25 = 696.95 : x
  2. Step 2: Convert to fraction form
    1,286.42/1,775.25 = 696.95/x
  3. Step 3: Cross multiply
    1,286.42x = 1,775.25 × 696.95
  4. Step 4: Simplify right side
    1,286.42x = 1,237,260.49
  5. Step 5: Solve for x
    x = 1,237,260.49/1,286.42
  6. Step 6: Final answer
    x = 961.79

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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.