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Finding the Fourth Proportional to 807.16, 1,211.46 and 422.68

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Solution

The fourth proportional to 807.16, 1,211.46 and 422.68 is: 634.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.16 : 1,211.46 = 422.68 : x
  2. Step 2: Convert to fraction form
    807.16/1,211.46 = 422.68/x
  3. Step 3: Cross multiply
    807.16x = 1,211.46 × 422.68
  4. Step 4: Simplify right side
    807.16x = 512,059.91
  5. Step 5: Solve for x
    x = 512,059.91/807.16
  6. Step 6: Final answer
    x = 634.40

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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.