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Finding the Fourth Proportional to 996.73, 1,376.29 and 891.63

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Solution

The fourth proportional to 996.73, 1,376.29 and 891.63 is: 1,231.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.73 : 1,376.29 = 891.63 : x
  2. Step 2: Convert to fraction form
    996.73/1,376.29 = 891.63/x
  3. Step 3: Cross multiply
    996.73x = 1,376.29 × 891.63
  4. Step 4: Simplify right side
    996.73x = 1,227,142.57
  5. Step 5: Solve for x
    x = 1,227,142.57/996.73
  6. Step 6: Final answer
    x = 1,231.17

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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.