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Finding the Fourth Proportional to 996.46, 1,493.04 and 958.54

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Solution

The fourth proportional to 996.46, 1,493.04 and 958.54 is: 1,436.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.46 : 1,493.04 = 958.54 : x
  2. Step 2: Convert to fraction form
    996.46/1,493.04 = 958.54/x
  3. Step 3: Cross multiply
    996.46x = 1,493.04 × 958.54
  4. Step 4: Simplify right side
    996.46x = 1,431,138.56
  5. Step 5: Solve for x
    x = 1,431,138.56/996.46
  6. Step 6: Final answer
    x = 1,436.22

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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.