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Finding the Fourth Proportional to 996.71, 1,493.03 and 508.88

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Solution

The fourth proportional to 996.71, 1,493.03 and 508.88 is: 762.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.71 : 1,493.03 = 508.88 : x
  2. Step 2: Convert to fraction form
    996.71/1,493.03 = 508.88/x
  3. Step 3: Cross multiply
    996.71x = 1,493.03 × 508.88
  4. Step 4: Simplify right side
    996.71x = 759,778.11
  5. Step 5: Solve for x
    x = 759,778.11/996.71
  6. Step 6: Final answer
    x = 762.29

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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.