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Finding the Fourth Proportional to 961.72, 1,440.42 and 838.60

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Solution

The fourth proportional to 961.72, 1,440.42 and 838.60 is: 1,256.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.72 : 1,440.42 = 838.60 : x
  2. Step 2: Convert to fraction form
    961.72/1,440.42 = 838.60/x
  3. Step 3: Cross multiply
    961.72x = 1,440.42 × 838.60
  4. Step 4: Simplify right side
    961.72x = 1,207,936.21
  5. Step 5: Solve for x
    x = 1,207,936.21/961.72
  6. Step 6: Final answer
    x = 1,256.02

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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.