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Finding the Fourth Proportional to 822.02, 1,231.14 and 496.67

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Solution

The fourth proportional to 822.02, 1,231.14 and 496.67 is: 743.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.02 : 1,231.14 = 496.67 : x
  2. Step 2: Convert to fraction form
    822.02/1,231.14 = 496.67/x
  3. Step 3: Cross multiply
    822.02x = 1,231.14 × 496.67
  4. Step 4: Simplify right side
    822.02x = 611,470.30
  5. Step 5: Solve for x
    x = 611,470.30/822.02
  6. Step 6: Final answer
    x = 743.86

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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.