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Finding the Fourth Proportional to 1,219.49, 1,829.49 and 699.73

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Solution

The fourth proportional to 1,219.49, 1,829.49 and 699.73 is: 1,049.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.49 : 1,829.49 = 699.73 : x
  2. Step 2: Convert to fraction form
    1,219.49/1,829.49 = 699.73/x
  3. Step 3: Cross multiply
    1,219.49x = 1,829.49 × 699.73
  4. Step 4: Simplify right side
    1,219.49x = 1,280,149.04
  5. Step 5: Solve for x
    x = 1,280,149.04/1,219.49
  6. Step 6: Final answer
    x = 1,049.74

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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.