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Finding the Fourth Proportional to 1,396.08, 1,926.49 and 766.57

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Solution

The fourth proportional to 1,396.08, 1,926.49 and 766.57 is: 1,057.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.08 : 1,926.49 = 766.57 : x
  2. Step 2: Convert to fraction form
    1,396.08/1,926.49 = 766.57/x
  3. Step 3: Cross multiply
    1,396.08x = 1,926.49 × 766.57
  4. Step 4: Simplify right side
    1,396.08x = 1,476,789.44
  5. Step 5: Solve for x
    x = 1,476,789.44/1,396.08
  6. Step 6: Final answer
    x = 1,057.81

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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.