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Finding the Fourth Proportional to 824.09, 1,236.17 and 458.60

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Solution

The fourth proportional to 824.09, 1,236.17 and 458.60 is: 687.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.09 : 1,236.17 = 458.60 : x
  2. Step 2: Convert to fraction form
    824.09/1,236.17 = 458.60/x
  3. Step 3: Cross multiply
    824.09x = 1,236.17 × 458.60
  4. Step 4: Simplify right side
    824.09x = 566,905.27
  5. Step 5: Solve for x
    x = 566,905.27/824.09
  6. Step 6: Final answer
    x = 687.92

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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.