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Finding the Fourth Proportional to 996.70, 1,374.57 and 697.79

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Solution

The fourth proportional to 996.70, 1,374.57 and 697.79 is: 962.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.70 : 1,374.57 = 697.79 : x
  2. Step 2: Convert to fraction form
    996.70/1,374.57 = 697.79/x
  3. Step 3: Cross multiply
    996.70x = 1,374.57 × 697.79
  4. Step 4: Simplify right side
    996.70x = 959,161.20
  5. Step 5: Solve for x
    x = 959,161.20/996.70
  6. Step 6: Final answer
    x = 962.34

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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.