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Finding the Fourth Proportional to 1,998.32, 2,996.56 and 699.68

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Solution

The fourth proportional to 1,998.32, 2,996.56 and 699.68 is: 1,049.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.32 : 2,996.56 = 699.68 : x
  2. Step 2: Convert to fraction form
    1,998.32/2,996.56 = 699.68/x
  3. Step 3: Cross multiply
    1,998.32x = 2,996.56 × 699.68
  4. Step 4: Simplify right side
    1,998.32x = 2,096,633.10
  5. Step 5: Solve for x
    x = 2,096,633.10/1,998.32
  6. Step 6: Final answer
    x = 1,049.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.