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Finding the Fourth Proportional to 1,222.11, 1,832.10 and 727.30

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Solution

The fourth proportional to 1,222.11, 1,832.10 and 727.30 is: 1,090.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.11 : 1,832.10 = 727.30 : x
  2. Step 2: Convert to fraction form
    1,222.11/1,832.10 = 727.30/x
  3. Step 3: Cross multiply
    1,222.11x = 1,832.10 × 727.30
  4. Step 4: Simplify right side
    1,222.11x = 1,332,486.33
  5. Step 5: Solve for x
    x = 1,332,486.33/1,222.11
  6. Step 6: Final answer
    x = 1,090.32

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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.