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Finding the Fourth Proportional to 1,221.63, 1,832.47 and 441.69

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Solution

The fourth proportional to 1,221.63, 1,832.47 and 441.69 is: 662.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.63 : 1,832.47 = 441.69 : x
  2. Step 2: Convert to fraction form
    1,221.63/1,832.47 = 441.69/x
  3. Step 3: Cross multiply
    1,221.63x = 1,832.47 × 441.69
  4. Step 4: Simplify right side
    1,221.63x = 809,383.67
  5. Step 5: Solve for x
    x = 809,383.67/1,221.63
  6. Step 6: Final answer
    x = 662.54

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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.