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Finding the Fourth Proportional to 1,213.02, 1,819.44 and 724.98

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Solution

The fourth proportional to 1,213.02, 1,819.44 and 724.98 is: 1,087.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.02 : 1,819.44 = 724.98 : x
  2. Step 2: Convert to fraction form
    1,213.02/1,819.44 = 724.98/x
  3. Step 3: Cross multiply
    1,213.02x = 1,819.44 × 724.98
  4. Step 4: Simplify right side
    1,213.02x = 1,319,057.61
  5. Step 5: Solve for x
    x = 1,319,057.61/1,213.02
  6. Step 6: Final answer
    x = 1,087.42

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