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Finding the Fourth Proportional to 1,226.06, 1,691.87 and 721.84

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Solution

The fourth proportional to 1,226.06, 1,691.87 and 721.84 is: 996.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.06 : 1,691.87 = 721.84 : x
  2. Step 2: Convert to fraction form
    1,226.06/1,691.87 = 721.84/x
  3. Step 3: Cross multiply
    1,226.06x = 1,691.87 × 721.84
  4. Step 4: Simplify right side
    1,226.06x = 1,221,258.83
  5. Step 5: Solve for x
    x = 1,221,258.83/1,226.06
  6. Step 6: Final answer
    x = 996.08

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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.