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Finding the Fourth Proportional to 822.39, 1,236.27 and 762.24

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Solution

The fourth proportional to 822.39, 1,236.27 and 762.24 is: 1,145.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.39 : 1,236.27 = 762.24 : x
  2. Step 2: Convert to fraction form
    822.39/1,236.27 = 762.24/x
  3. Step 3: Cross multiply
    822.39x = 1,236.27 × 762.24
  4. Step 4: Simplify right side
    822.39x = 942,334.44
  5. Step 5: Solve for x
    x = 942,334.44/822.39
  6. Step 6: Final answer
    x = 1,145.85

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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.