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Finding the Fourth Proportional to 824.87, 1,237.47 and 269.74

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Solution

The fourth proportional to 824.87, 1,237.47 and 269.74 is: 404.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.87 : 1,237.47 = 269.74 : x
  2. Step 2: Convert to fraction form
    824.87/1,237.47 = 269.74/x
  3. Step 3: Cross multiply
    824.87x = 1,237.47 × 269.74
  4. Step 4: Simplify right side
    824.87x = 333,788.97
  5. Step 5: Solve for x
    x = 333,788.97/824.87
  6. Step 6: Final answer
    x = 404.66

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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.