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Finding the Fourth Proportional to 824.98, 1,236.41 and 516.07

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Solution

The fourth proportional to 824.98, 1,236.41 and 516.07 is: 773.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.98 : 1,236.41 = 516.07 : x
  2. Step 2: Convert to fraction form
    824.98/1,236.41 = 516.07/x
  3. Step 3: Cross multiply
    824.98x = 1,236.41 × 516.07
  4. Step 4: Simplify right side
    824.98x = 638,074.11
  5. Step 5: Solve for x
    x = 638,074.11/824.98
  6. Step 6: Final answer
    x = 773.44

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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.