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Finding the Fourth Proportional to 1,286.05, 1,774.74 and 696.58

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Solution

The fourth proportional to 1,286.05, 1,774.74 and 696.58 is: 961.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.05 : 1,774.74 = 696.58 : x
  2. Step 2: Convert to fraction form
    1,286.05/1,774.74 = 696.58/x
  3. Step 3: Cross multiply
    1,286.05x = 1,774.74 × 696.58
  4. Step 4: Simplify right side
    1,286.05x = 1,236,248.39
  5. Step 5: Solve for x
    x = 1,236,248.39/1,286.05
  6. Step 6: Final answer
    x = 961.28

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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.