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Finding the Fourth Proportional to 1,219.75, 1,829.43 and 398.03

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Solution

The fourth proportional to 1,219.75, 1,829.43 and 398.03 is: 596.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.75 : 1,829.43 = 398.03 : x
  2. Step 2: Convert to fraction form
    1,219.75/1,829.43 = 398.03/x
  3. Step 3: Cross multiply
    1,219.75x = 1,829.43 × 398.03
  4. Step 4: Simplify right side
    1,219.75x = 728,158.88
  5. Step 5: Solve for x
    x = 728,158.88/1,219.75
  6. Step 6: Final answer
    x = 596.98

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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.