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Finding the Fourth Proportional to 1,219.79, 1,825.43 and 997.85

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Solution

The fourth proportional to 1,219.79, 1,825.43 and 997.85 is: 1,493.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.79 : 1,825.43 = 997.85 : x
  2. Step 2: Convert to fraction form
    1,219.79/1,825.43 = 997.85/x
  3. Step 3: Cross multiply
    1,219.79x = 1,825.43 × 997.85
  4. Step 4: Simplify right side
    1,219.79x = 1,821,497.44
  5. Step 5: Solve for x
    x = 1,821,497.44/1,219.79
  6. Step 6: Final answer
    x = 1,493.29

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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.