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Finding the Fourth Proportional to 807.87, 1,211.76 and 287.85

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Solution

The fourth proportional to 807.87, 1,211.76 and 287.85 is: 431.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.87 : 1,211.76 = 287.85 : x
  2. Step 2: Convert to fraction form
    807.87/1,211.76 = 287.85/x
  3. Step 3: Cross multiply
    807.87x = 1,211.76 × 287.85
  4. Step 4: Simplify right side
    807.87x = 348,805.12
  5. Step 5: Solve for x
    x = 348,805.12/807.87
  6. Step 6: Final answer
    x = 431.76

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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.