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Finding the Fourth Proportional to 1,212.39, 1,819.27 and 471.90

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Solution

The fourth proportional to 1,212.39, 1,819.27 and 471.90 is: 708.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.39 : 1,819.27 = 471.90 : x
  2. Step 2: Convert to fraction form
    1,212.39/1,819.27 = 471.90/x
  3. Step 3: Cross multiply
    1,212.39x = 1,819.27 × 471.90
  4. Step 4: Simplify right side
    1,212.39x = 858,514.98
  5. Step 5: Solve for x
    x = 858,514.98/1,212.39
  6. Step 6: Final answer
    x = 708.12

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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.