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Finding the Fourth Proportional to 1,219, 1,682.48 and 721.84

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Solution

The fourth proportional to 1,219, 1,682.48 and 721.84 is: 996.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219 : 1,682.48 = 721.84 : x
  2. Step 2: Convert to fraction form
    1,219/1,682.48 = 721.84/x
  3. Step 3: Cross multiply
    1,219x = 1,682.48 × 721.84
  4. Step 4: Simplify right side
    1,219x = 1,214,481.36
  5. Step 5: Solve for x
    x = 1,214,481.36/1,219
  6. Step 6: Final answer
    x = 996.29

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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.