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Finding the Fourth Proportional to 993.87, 1,489.89 and 344.46

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Solution

The fourth proportional to 993.87, 1,489.89 and 344.46 is: 516.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.87 : 1,489.89 = 344.46 : x
  2. Step 2: Convert to fraction form
    993.87/1,489.89 = 344.46/x
  3. Step 3: Cross multiply
    993.87x = 1,489.89 × 344.46
  4. Step 4: Simplify right side
    993.87x = 513,207.51
  5. Step 5: Solve for x
    x = 513,207.51/993.87
  6. Step 6: Final answer
    x = 516.37

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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.