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Finding the Fourth Proportional to 961.92, 1,433.03 and 915.48

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Solution

The fourth proportional to 961.92, 1,433.03 and 915.48 is: 1,363.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.92 : 1,433.03 = 915.48 : x
  2. Step 2: Convert to fraction form
    961.92/1,433.03 = 915.48/x
  3. Step 3: Cross multiply
    961.92x = 1,433.03 × 915.48
  4. Step 4: Simplify right side
    961.92x = 1,311,910.30
  5. Step 5: Solve for x
    x = 1,311,910.30/961.92
  6. Step 6: Final answer
    x = 1,363.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.