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Finding the Fourth Proportional to 852.78, 1,280.99 and 822.02

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Solution

The fourth proportional to 852.78, 1,280.99 and 822.02 is: 1,234.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.78 : 1,280.99 = 822.02 : x
  2. Step 2: Convert to fraction form
    852.78/1,280.99 = 822.02/x
  3. Step 3: Cross multiply
    852.78x = 1,280.99 × 822.02
  4. Step 4: Simplify right side
    852.78x = 1,053,003.55
  5. Step 5: Solve for x
    x = 1,053,003.55/852.78
  6. Step 6: Final answer
    x = 1,234.79

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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.