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Finding the Fourth Proportional to 993.24, 1,489.86 and 343.98

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Solution

The fourth proportional to 993.24, 1,489.86 and 343.98 is: 515.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.24 : 1,489.86 = 343.98 : x
  2. Step 2: Convert to fraction form
    993.24/1,489.86 = 343.98/x
  3. Step 3: Cross multiply
    993.24x = 1,489.86 × 343.98
  4. Step 4: Simplify right side
    993.24x = 512,482.04
  5. Step 5: Solve for x
    x = 512,482.04/993.24
  6. Step 6: Final answer
    x = 515.97

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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.