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Finding the Fourth Proportional to 805.92, 1,207.71 and 343.44

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Solution

The fourth proportional to 805.92, 1,207.71 and 343.44 is: 514.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.92 : 1,207.71 = 343.44 : x
  2. Step 2: Convert to fraction form
    805.92/1,207.71 = 343.44/x
  3. Step 3: Cross multiply
    805.92x = 1,207.71 × 343.44
  4. Step 4: Simplify right side
    805.92x = 414,775.92
  5. Step 5: Solve for x
    x = 414,775.92/805.92
  6. Step 6: Final answer
    x = 514.66

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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.