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Finding the Fourth Proportional to 824.72, 1,237.14 and 338.04

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Solution

The fourth proportional to 824.72, 1,237.14 and 338.04 is: 507.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.72 : 1,237.14 = 338.04 : x
  2. Step 2: Convert to fraction form
    824.72/1,237.14 = 338.04/x
  3. Step 3: Cross multiply
    824.72x = 1,237.14 × 338.04
  4. Step 4: Simplify right side
    824.72x = 418,202.81
  5. Step 5: Solve for x
    x = 418,202.81/824.72
  6. Step 6: Final answer
    x = 507.09

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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.