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Finding the Fourth Proportional to 996.62, 1,493.80 and 476.20

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Solution

The fourth proportional to 996.62, 1,493.80 and 476.20 is: 713.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.62 : 1,493.80 = 476.20 : x
  2. Step 2: Convert to fraction form
    996.62/1,493.80 = 476.20/x
  3. Step 3: Cross multiply
    996.62x = 1,493.80 × 476.20
  4. Step 4: Simplify right side
    996.62x = 711,347.56
  5. Step 5: Solve for x
    x = 711,347.56/996.62
  6. Step 6: Final answer
    x = 713.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.