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Finding the Fourth Proportional to 996.29, 1,494.85 and 533.94

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Solution

The fourth proportional to 996.29, 1,494.85 and 533.94 is: 801.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.29 : 1,494.85 = 533.94 : x
  2. Step 2: Convert to fraction form
    996.29/1,494.85 = 533.94/x
  3. Step 3: Cross multiply
    996.29x = 1,494.85 × 533.94
  4. Step 4: Simplify right side
    996.29x = 798,157.54
  5. Step 5: Solve for x
    x = 798,157.54/996.29
  6. Step 6: Final answer
    x = 801.13

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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.