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Finding the Fourth Proportional to 996.71, 1,491.87 and 533.33

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Solution

The fourth proportional to 996.71, 1,491.87 and 533.33 is: 798.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.71 : 1,491.87 = 533.33 : x
  2. Step 2: Convert to fraction form
    996.71/1,491.87 = 533.33/x
  3. Step 3: Cross multiply
    996.71x = 1,491.87 × 533.33
  4. Step 4: Simplify right side
    996.71x = 795,659.03
  5. Step 5: Solve for x
    x = 795,659.03/996.71
  6. Step 6: Final answer
    x = 798.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.