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Finding the Fourth Proportional to 827.22, 1,243.44 and 462.72

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Solution

The fourth proportional to 827.22, 1,243.44 and 462.72 is: 695.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.22 : 1,243.44 = 462.72 : x
  2. Step 2: Convert to fraction form
    827.22/1,243.44 = 462.72/x
  3. Step 3: Cross multiply
    827.22x = 1,243.44 × 462.72
  4. Step 4: Simplify right side
    827.22x = 575,364.56
  5. Step 5: Solve for x
    x = 575,364.56/827.22
  6. Step 6: Final answer
    x = 695.54

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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.