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Finding the Fourth Proportional to 993.68, 1,489.28 and 531.20

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Solution

The fourth proportional to 993.68, 1,489.28 and 531.20 is: 796.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.68 : 1,489.28 = 531.20 : x
  2. Step 2: Convert to fraction form
    993.68/1,489.28 = 531.20/x
  3. Step 3: Cross multiply
    993.68x = 1,489.28 × 531.20
  4. Step 4: Simplify right side
    993.68x = 791,105.54
  5. Step 5: Solve for x
    x = 791,105.54/993.68
  6. Step 6: Final answer
    x = 796.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.