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Finding the Fourth Proportional to 1,213.57, 1,819.50 and 596.88

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Solution

The fourth proportional to 1,213.57, 1,819.50 and 596.88 is: 894.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.57 : 1,819.50 = 596.88 : x
  2. Step 2: Convert to fraction form
    1,213.57/1,819.50 = 596.88/x
  3. Step 3: Cross multiply
    1,213.57x = 1,819.50 × 596.88
  4. Step 4: Simplify right side
    1,213.57x = 1,086,020.92
  5. Step 5: Solve for x
    x = 1,086,020.92/1,213.57
  6. Step 6: Final answer
    x = 894.90

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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.