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Finding the Fourth Proportional to 828.92, 1,243.78 and 366.64

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Solution

The fourth proportional to 828.92, 1,243.78 and 366.64 is: 550.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.92 : 1,243.78 = 366.64 : x
  2. Step 2: Convert to fraction form
    828.92/1,243.78 = 366.64/x
  3. Step 3: Cross multiply
    828.92x = 1,243.78 × 366.64
  4. Step 4: Simplify right side
    828.92x = 456,019.50
  5. Step 5: Solve for x
    x = 456,019.50/828.92
  6. Step 6: Final answer
    x = 550.14

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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.