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Finding the Fourth Proportional to 838.67, 1,255.23 and 809.51

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Solution

The fourth proportional to 838.67, 1,255.23 and 809.51 is: 1,211.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.67 : 1,255.23 = 809.51 : x
  2. Step 2: Convert to fraction form
    838.67/1,255.23 = 809.51/x
  3. Step 3: Cross multiply
    838.67x = 1,255.23 × 809.51
  4. Step 4: Simplify right side
    838.67x = 1,016,114.96
  5. Step 5: Solve for x
    x = 1,016,114.96/838.67
  6. Step 6: Final answer
    x = 1,211.59

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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.