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Finding the Fourth Proportional to 996.72, 1,493.46 and 586.23

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Solution

The fourth proportional to 996.72, 1,493.46 and 586.23 is: 878.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.72 : 1,493.46 = 586.23 : x
  2. Step 2: Convert to fraction form
    996.72/1,493.46 = 586.23/x
  3. Step 3: Cross multiply
    996.72x = 1,493.46 × 586.23
  4. Step 4: Simplify right side
    996.72x = 875,511.06
  5. Step 5: Solve for x
    x = 875,511.06/996.72
  6. Step 6: Final answer
    x = 878.39

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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.