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Finding the Fourth Proportional to 993.44, 1,489.98 and 263.09

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Solution

The fourth proportional to 993.44, 1,489.98 and 263.09 is: 394.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.44 : 1,489.98 = 263.09 : x
  2. Step 2: Convert to fraction form
    993.44/1,489.98 = 263.09/x
  3. Step 3: Cross multiply
    993.44x = 1,489.98 × 263.09
  4. Step 4: Simplify right side
    993.44x = 391,991.39
  5. Step 5: Solve for x
    x = 391,991.39/993.44
  6. Step 6: Final answer
    x = 394.58

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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.