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Finding the Fourth Proportional to 993.16, 1,489.65 and 343.86

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Solution

The fourth proportional to 993.16, 1,489.65 and 343.86 is: 515.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.16 : 1,489.65 = 343.86 : x
  2. Step 2: Convert to fraction form
    993.16/1,489.65 = 343.86/x
  3. Step 3: Cross multiply
    993.16x = 1,489.65 × 343.86
  4. Step 4: Simplify right side
    993.16x = 512,231.05
  5. Step 5: Solve for x
    x = 512,231.05/993.16
  6. Step 6: Final answer
    x = 515.76

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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.