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Finding the Fourth Proportional to 824.11, 1,234.80 and 498.80

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Solution

The fourth proportional to 824.11, 1,234.80 and 498.80 is: 747.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.11 : 1,234.80 = 498.80 : x
  2. Step 2: Convert to fraction form
    824.11/1,234.80 = 498.80/x
  3. Step 3: Cross multiply
    824.11x = 1,234.80 × 498.80
  4. Step 4: Simplify right side
    824.11x = 615,921.33
  5. Step 5: Solve for x
    x = 615,921.33/824.11
  6. Step 6: Final answer
    x = 747.38

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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.