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Finding the Fourth Proportional to 996.54, 1,493.09 and 534.53

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Solution

The fourth proportional to 996.54, 1,493.09 and 534.53 is: 800.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.54 : 1,493.09 = 534.53 : x
  2. Step 2: Convert to fraction form
    996.54/1,493.09 = 534.53/x
  3. Step 3: Cross multiply
    996.54x = 1,493.09 × 534.53
  4. Step 4: Simplify right side
    996.54x = 798,101.40
  5. Step 5: Solve for x
    x = 798,101.40/996.54
  6. Step 6: Final answer
    x = 800.87

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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.