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Finding the Fourth Proportional to 824.69, 1,237.26 and 459.74

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Solution

The fourth proportional to 824.69, 1,237.26 and 459.74 is: 689.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.69 : 1,237.26 = 459.74 : x
  2. Step 2: Convert to fraction form
    824.69/1,237.26 = 459.74/x
  3. Step 3: Cross multiply
    824.69x = 1,237.26 × 459.74
  4. Step 4: Simplify right side
    824.69x = 568,811.73
  5. Step 5: Solve for x
    x = 568,811.73/824.69
  6. Step 6: Final answer
    x = 689.73

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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.