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Finding the Fourth Proportional to 993.24, 1,489.68 and 445.44

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Solution

The fourth proportional to 993.24, 1,489.68 and 445.44 is: 668.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.24 : 1,489.68 = 445.44 : x
  2. Step 2: Convert to fraction form
    993.24/1,489.68 = 445.44/x
  3. Step 3: Cross multiply
    993.24x = 1,489.68 × 445.44
  4. Step 4: Simplify right side
    993.24x = 663,563.06
  5. Step 5: Solve for x
    x = 663,563.06/993.24
  6. Step 6: Final answer
    x = 668.08

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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.