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Finding the Fourth Proportional to 996.28, 1,374.74 and 646.96

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Solution

The fourth proportional to 996.28, 1,374.74 and 646.96 is: 892.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.28 : 1,374.74 = 646.96 : x
  2. Step 2: Convert to fraction form
    996.28/1,374.74 = 646.96/x
  3. Step 3: Cross multiply
    996.28x = 1,374.74 × 646.96
  4. Step 4: Simplify right side
    996.28x = 889,401.79
  5. Step 5: Solve for x
    x = 889,401.79/996.28
  6. Step 6: Final answer
    x = 892.72

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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.