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Finding the Fourth Proportional to 915.87, 1,265.97 and 843.21

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Solution

The fourth proportional to 915.87, 1,265.97 and 843.21 is: 1,165.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.87 : 1,265.97 = 843.21 : x
  2. Step 2: Convert to fraction form
    915.87/1,265.97 = 843.21/x
  3. Step 3: Cross multiply
    915.87x = 1,265.97 × 843.21
  4. Step 4: Simplify right side
    915.87x = 1,067,472.23
  5. Step 5: Solve for x
    x = 1,067,472.23/915.87
  6. Step 6: Final answer
    x = 1,165.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.