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Finding the Fourth Proportional to 1,221.63, 1,832.44 and 537.63

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Solution

The fourth proportional to 1,221.63, 1,832.44 and 537.63 is: 806.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.63 : 1,832.44 = 537.63 : x
  2. Step 2: Convert to fraction form
    1,221.63/1,832.44 = 537.63/x
  3. Step 3: Cross multiply
    1,221.63x = 1,832.44 × 537.63
  4. Step 4: Simplify right side
    1,221.63x = 985,164.21
  5. Step 5: Solve for x
    x = 985,164.21/1,221.63
  6. Step 6: Final answer
    x = 806.44

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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.