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Finding the Fourth Proportional to 828.35, 1,236.11 and 736.32

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Solution

The fourth proportional to 828.35, 1,236.11 and 736.32 is: 1,098.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.35 : 1,236.11 = 736.32 : x
  2. Step 2: Convert to fraction form
    828.35/1,236.11 = 736.32/x
  3. Step 3: Cross multiply
    828.35x = 1,236.11 × 736.32
  4. Step 4: Simplify right side
    828.35x = 910,172.52
  5. Step 5: Solve for x
    x = 910,172.52/828.35
  6. Step 6: Final answer
    x = 1,098.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.