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Finding the Fourth Proportional to 1,221.06, 1,832.40 and 451.56

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Solution

The fourth proportional to 1,221.06, 1,832.40 and 451.56 is: 677.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.06 : 1,832.40 = 451.56 : x
  2. Step 2: Convert to fraction form
    1,221.06/1,832.40 = 451.56/x
  3. Step 3: Cross multiply
    1,221.06x = 1,832.40 × 451.56
  4. Step 4: Simplify right side
    1,221.06x = 827,438.54
  5. Step 5: Solve for x
    x = 827,438.54/1,221.06
  6. Step 6: Final answer
    x = 677.64

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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.