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Finding the Fourth Proportional to 997.91, 1,494.63 and 650.18

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Solution

The fourth proportional to 997.91, 1,494.63 and 650.18 is: 973.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.91 : 1,494.63 = 650.18 : x
  2. Step 2: Convert to fraction form
    997.91/1,494.63 = 650.18/x
  3. Step 3: Cross multiply
    997.91x = 1,494.63 × 650.18
  4. Step 4: Simplify right side
    997.91x = 971,778.53
  5. Step 5: Solve for x
    x = 971,778.53/997.91
  6. Step 6: Final answer
    x = 973.81

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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.