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Finding the Fourth Proportional to 988.57, 1,481.94 and 494.68

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Solution

The fourth proportional to 988.57, 1,481.94 and 494.68 is: 741.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.57 : 1,481.94 = 494.68 : x
  2. Step 2: Convert to fraction form
    988.57/1,481.94 = 494.68/x
  3. Step 3: Cross multiply
    988.57x = 1,481.94 × 494.68
  4. Step 4: Simplify right side
    988.57x = 733,086.08
  5. Step 5: Solve for x
    x = 733,086.08/988.57
  6. Step 6: Final answer
    x = 741.56

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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.