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Finding the Fourth Proportional to 1,220.24, 1,831 and 450.96

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Solution

The fourth proportional to 1,220.24, 1,831 and 450.96 is: 676.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.24 : 1,831 = 450.96 : x
  2. Step 2: Convert to fraction form
    1,220.24/1,831 = 450.96/x
  3. Step 3: Cross multiply
    1,220.24x = 1,831 × 450.96
  4. Step 4: Simplify right side
    1,220.24x = 825,707.76
  5. Step 5: Solve for x
    x = 825,707.76/1,220.24
  6. Step 6: Final answer
    x = 676.68

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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.