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Finding the Fourth Proportional to 996.17, 1,374.15 and 597.73

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Solution

The fourth proportional to 996.17, 1,374.15 and 597.73 is: 824.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.17 : 1,374.15 = 597.73 : x
  2. Step 2: Convert to fraction form
    996.17/1,374.15 = 597.73/x
  3. Step 3: Cross multiply
    996.17x = 1,374.15 × 597.73
  4. Step 4: Simplify right side
    996.17x = 821,367.24
  5. Step 5: Solve for x
    x = 821,367.24/996.17
  6. Step 6: Final answer
    x = 824.52

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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.