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Finding the Fourth Proportional to 1,396.22, 1,926.56 and 806.65

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Solution

The fourth proportional to 1,396.22, 1,926.56 and 806.65 is: 1,113.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.22 : 1,926.56 = 806.65 : x
  2. Step 2: Convert to fraction form
    1,396.22/1,926.56 = 806.65/x
  3. Step 3: Cross multiply
    1,396.22x = 1,926.56 × 806.65
  4. Step 4: Simplify right side
    1,396.22x = 1,554,059.62
  5. Step 5: Solve for x
    x = 1,554,059.62/1,396.22
  6. Step 6: Final answer
    x = 1,113.05

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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.