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Finding the Fourth Proportional to 993.02, 1,489.52 and 444.81

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Solution

The fourth proportional to 993.02, 1,489.52 and 444.81 is: 667.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.02 : 1,489.52 = 444.81 : x
  2. Step 2: Convert to fraction form
    993.02/1,489.52 = 444.81/x
  3. Step 3: Cross multiply
    993.02x = 1,489.52 × 444.81
  4. Step 4: Simplify right side
    993.02x = 662,553.39
  5. Step 5: Solve for x
    x = 662,553.39/993.02
  6. Step 6: Final answer
    x = 667.21

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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.