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Finding the Fourth Proportional to 1,212.03, 1,819.61 and 823.77

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Solution

The fourth proportional to 1,212.03, 1,819.61 and 823.77 is: 1,236.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.03 : 1,819.61 = 823.77 : x
  2. Step 2: Convert to fraction form
    1,212.03/1,819.61 = 823.77/x
  3. Step 3: Cross multiply
    1,212.03x = 1,819.61 × 823.77
  4. Step 4: Simplify right side
    1,212.03x = 1,498,936.01
  5. Step 5: Solve for x
    x = 1,498,936.01/1,212.03
  6. Step 6: Final answer
    x = 1,236.72

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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.