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Finding the Fourth Proportional to 996.62, 1,375.50 and 830.57

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Solution

The fourth proportional to 996.62, 1,375.50 and 830.57 is: 1,146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.62 : 1,375.50 = 830.57 : x
  2. Step 2: Convert to fraction form
    996.62/1,375.50 = 830.57/x
  3. Step 3: Cross multiply
    996.62x = 1,375.50 × 830.57
  4. Step 4: Simplify right side
    996.62x = 1,142,449.04
  5. Step 5: Solve for x
    x = 1,142,449.04/996.62
  6. Step 6: Final answer
    x = 1,146.32

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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.