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Finding the Fourth Proportional to 996.61, 1,493.78 and 508.63

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Solution

The fourth proportional to 996.61, 1,493.78 and 508.63 is: 762.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.61 : 1,493.78 = 508.63 : x
  2. Step 2: Convert to fraction form
    996.61/1,493.78 = 508.63/x
  3. Step 3: Cross multiply
    996.61x = 1,493.78 × 508.63
  4. Step 4: Simplify right side
    996.61x = 759,781.32
  5. Step 5: Solve for x
    x = 759,781.32/996.61
  6. Step 6: Final answer
    x = 762.37

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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.