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Finding the Fourth Proportional to 824.66, 1,236.62 and 414

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Solution

The fourth proportional to 824.66, 1,236.62 and 414 is: 620.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.66 : 1,236.62 = 414 : x
  2. Step 2: Convert to fraction form
    824.66/1,236.62 = 414/x
  3. Step 3: Cross multiply
    824.66x = 1,236.62 × 414
  4. Step 4: Simplify right side
    824.66x = 511,960.68
  5. Step 5: Solve for x
    x = 511,960.68/824.66
  6. Step 6: Final answer
    x = 620.81

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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.