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Finding the Fourth Proportional to 996.52, 1,493.58 and 721.12

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Solution

The fourth proportional to 996.52, 1,493.58 and 721.12 is: 1,080.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.52 : 1,493.58 = 721.12 : x
  2. Step 2: Convert to fraction form
    996.52/1,493.58 = 721.12/x
  3. Step 3: Cross multiply
    996.52x = 1,493.58 × 721.12
  4. Step 4: Simplify right side
    996.52x = 1,077,050.41
  5. Step 5: Solve for x
    x = 1,077,050.41/996.52
  6. Step 6: Final answer
    x = 1,080.81

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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.