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Finding the Fourth Proportional to 807.82, 1,211.10 and 345.22

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Solution

The fourth proportional to 807.82, 1,211.10 and 345.22 is: 517.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.82 : 1,211.10 = 345.22 : x
  2. Step 2: Convert to fraction form
    807.82/1,211.10 = 345.22/x
  3. Step 3: Cross multiply
    807.82x = 1,211.10 × 345.22
  4. Step 4: Simplify right side
    807.82x = 418,095.94
  5. Step 5: Solve for x
    x = 418,095.94/807.82
  6. Step 6: Final answer
    x = 517.56

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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.