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Finding the Fourth Proportional to 824.67, 1,237.04 and 337.73

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Solution

The fourth proportional to 824.67, 1,237.04 and 337.73 is: 506.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.67 : 1,237.04 = 337.73 : x
  2. Step 2: Convert to fraction form
    824.67/1,237.04 = 337.73/x
  3. Step 3: Cross multiply
    824.67x = 1,237.04 × 337.73
  4. Step 4: Simplify right side
    824.67x = 417,777.65
  5. Step 5: Solve for x
    x = 417,777.65/824.67
  6. Step 6: Final answer
    x = 506.60

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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.