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Finding the Fourth Proportional to 828, 1,236.06 and 745.92

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Solution

The fourth proportional to 828, 1,236.06 and 745.92 is: 1,113.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    828 : 1,236.06 = 745.92 : x
  2. Step 2: Convert to fraction form
    828/1,236.06 = 745.92/x
  3. Step 3: Cross multiply
    828x = 1,236.06 × 745.92
  4. Step 4: Simplify right side
    828x = 922,001.88
  5. Step 5: Solve for x
    x = 922,001.88/828
  6. Step 6: Final answer
    x = 1,113.53

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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.