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Finding the Fourth Proportional to 807.45, 1,211.24 and 345.23

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Solution

The fourth proportional to 807.45, 1,211.24 and 345.23 is: 517.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.45 : 1,211.24 = 345.23 : x
  2. Step 2: Convert to fraction form
    807.45/1,211.24 = 345.23/x
  3. Step 3: Cross multiply
    807.45x = 1,211.24 × 345.23
  4. Step 4: Simplify right side
    807.45x = 418,157.69
  5. Step 5: Solve for x
    x = 418,157.69/807.45
  6. Step 6: Final answer
    x = 517.87

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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.