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Finding the Fourth Proportional to 915.82, 1,371.84 and 682

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Solution

The fourth proportional to 915.82, 1,371.84 and 682 is: 1,021.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.82 : 1,371.84 = 682 : x
  2. Step 2: Convert to fraction form
    915.82/1,371.84 = 682/x
  3. Step 3: Cross multiply
    915.82x = 1,371.84 × 682
  4. Step 4: Simplify right side
    915.82x = 935,594.88
  5. Step 5: Solve for x
    x = 935,594.88/915.82
  6. Step 6: Final answer
    x = 1,021.59

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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.