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Finding the Fourth Proportional to 843.50, 1,265.25 and 295.83

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Solution

The fourth proportional to 843.50, 1,265.25 and 295.83 is: 443.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.50 : 1,265.25 = 295.83 : x
  2. Step 2: Convert to fraction form
    843.50/1,265.25 = 295.83/x
  3. Step 3: Cross multiply
    843.50x = 1,265.25 × 295.83
  4. Step 4: Simplify right side
    843.50x = 374,298.91
  5. Step 5: Solve for x
    x = 374,298.91/843.50
  6. Step 6: Final answer
    x = 443.75

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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.