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Finding the Fourth Proportional to 993.18, 1,490.45 and 664.49

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Solution

The fourth proportional to 993.18, 1,490.45 and 664.49 is: 997.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.18 : 1,490.45 = 664.49 : x
  2. Step 2: Convert to fraction form
    993.18/1,490.45 = 664.49/x
  3. Step 3: Cross multiply
    993.18x = 1,490.45 × 664.49
  4. Step 4: Simplify right side
    993.18x = 990,389.12
  5. Step 5: Solve for x
    x = 990,389.12/993.18
  6. Step 6: Final answer
    x = 997.19

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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.