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Finding the Fourth Proportional to 996.52, 1,493.67 and 476.11

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Solution

The fourth proportional to 996.52, 1,493.67 and 476.11 is: 713.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.52 : 1,493.67 = 476.11 : x
  2. Step 2: Convert to fraction form
    996.52/1,493.67 = 476.11/x
  3. Step 3: Cross multiply
    996.52x = 1,493.67 × 476.11
  4. Step 4: Simplify right side
    996.52x = 711,151.22
  5. Step 5: Solve for x
    x = 711,151.22/996.52
  6. Step 6: Final answer
    x = 713.63

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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.