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Finding the Fourth Proportional to 828.67, 1,243.32 and 280.85

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Solution

The fourth proportional to 828.67, 1,243.32 and 280.85 is: 421.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.67 : 1,243.32 = 280.85 : x
  2. Step 2: Convert to fraction form
    828.67/1,243.32 = 280.85/x
  3. Step 3: Cross multiply
    828.67x = 1,243.32 × 280.85
  4. Step 4: Simplify right side
    828.67x = 349,185.00
  5. Step 5: Solve for x
    x = 349,185.00/828.67
  6. Step 6: Final answer
    x = 421.38

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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.