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Finding the Fourth Proportional to 824.73, 1,236.07 and 590.12

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Solution

The fourth proportional to 824.73, 1,236.07 and 590.12 is: 884.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.73 : 1,236.07 = 590.12 : x
  2. Step 2: Convert to fraction form
    824.73/1,236.07 = 590.12/x
  3. Step 3: Cross multiply
    824.73x = 1,236.07 × 590.12
  4. Step 4: Simplify right side
    824.73x = 729,421.97
  5. Step 5: Solve for x
    x = 729,421.97/824.73
  6. Step 6: Final answer
    x = 884.44

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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.