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Finding the Fourth Proportional to 828.24, 1,243.14 and 438.71

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Solution

The fourth proportional to 828.24, 1,243.14 and 438.71 is: 658.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.24 : 1,243.14 = 438.71 : x
  2. Step 2: Convert to fraction form
    828.24/1,243.14 = 438.71/x
  3. Step 3: Cross multiply
    828.24x = 1,243.14 × 438.71
  4. Step 4: Simplify right side
    828.24x = 545,371.73
  5. Step 5: Solve for x
    x = 545,371.73/828.24
  6. Step 6: Final answer
    x = 658.47

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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.