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Finding the Fourth Proportional to 1,213.13, 1,819.70 and 482.72

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Solution

The fourth proportional to 1,213.13, 1,819.70 and 482.72 is: 724.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.13 : 1,819.70 = 482.72 : x
  2. Step 2: Convert to fraction form
    1,213.13/1,819.70 = 482.72/x
  3. Step 3: Cross multiply
    1,213.13x = 1,819.70 × 482.72
  4. Step 4: Simplify right side
    1,213.13x = 878,395.88
  5. Step 5: Solve for x
    x = 878,395.88/1,213.13
  6. Step 6: Final answer
    x = 724.07

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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.