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Finding the Fourth Proportional to 1,226.82, 1,693.26 and 833.97

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Solution

The fourth proportional to 1,226.82, 1,693.26 and 833.97 is: 1,151.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.82 : 1,693.26 = 833.97 : x
  2. Step 2: Convert to fraction form
    1,226.82/1,693.26 = 833.97/x
  3. Step 3: Cross multiply
    1,226.82x = 1,693.26 × 833.97
  4. Step 4: Simplify right side
    1,226.82x = 1,412,128.04
  5. Step 5: Solve for x
    x = 1,412,128.04/1,226.82
  6. Step 6: Final answer
    x = 1,151.05

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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.