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Finding the Fourth Proportional to 844.71, 1,265.24 and 824.06

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Solution

The fourth proportional to 844.71, 1,265.24 and 824.06 is: 1,234.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.71 : 1,265.24 = 824.06 : x
  2. Step 2: Convert to fraction form
    844.71/1,265.24 = 824.06/x
  3. Step 3: Cross multiply
    844.71x = 1,265.24 × 824.06
  4. Step 4: Simplify right side
    844.71x = 1,042,623.23
  5. Step 5: Solve for x
    x = 1,042,623.23/844.71
  6. Step 6: Final answer
    x = 1,234.30

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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.