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Finding the Fourth Proportional to 993.74, 1,490.43 and 445.94

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Solution

The fourth proportional to 993.74, 1,490.43 and 445.94 is: 668.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.74 : 1,490.43 = 445.94 : x
  2. Step 2: Convert to fraction form
    993.74/1,490.43 = 445.94/x
  3. Step 3: Cross multiply
    993.74x = 1,490.43 × 445.94
  4. Step 4: Simplify right side
    993.74x = 664,642.35
  5. Step 5: Solve for x
    x = 664,642.35/993.74
  6. Step 6: Final answer
    x = 668.83

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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.