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Finding the Fourth Proportional to 843.50, 1,265.12 and 599.29

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Solution

The fourth proportional to 843.50, 1,265.12 and 599.29 is: 898.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.50 : 1,265.12 = 599.29 : x
  2. Step 2: Convert to fraction form
    843.50/1,265.12 = 599.29/x
  3. Step 3: Cross multiply
    843.50x = 1,265.12 × 599.29
  4. Step 4: Simplify right side
    843.50x = 758,164.44
  5. Step 5: Solve for x
    x = 758,164.44/843.50
  6. Step 6: Final answer
    x = 898.83

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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.