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Finding the Fourth Proportional to 993.57, 1,489.26 and 531.64

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Solution

The fourth proportional to 993.57, 1,489.26 and 531.64 is: 796.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.57 : 1,489.26 = 531.64 : x
  2. Step 2: Convert to fraction form
    993.57/1,489.26 = 531.64/x
  3. Step 3: Cross multiply
    993.57x = 1,489.26 × 531.64
  4. Step 4: Simplify right side
    993.57x = 791,750.19
  5. Step 5: Solve for x
    x = 791,750.19/993.57
  6. Step 6: Final answer
    x = 796.87

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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.