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Finding the Fourth Proportional to 958.74, 1,436.74 and 496.33

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Solution

The fourth proportional to 958.74, 1,436.74 and 496.33 is: 743.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.74 : 1,436.74 = 496.33 : x
  2. Step 2: Convert to fraction form
    958.74/1,436.74 = 496.33/x
  3. Step 3: Cross multiply
    958.74x = 1,436.74 × 496.33
  4. Step 4: Simplify right side
    958.74x = 713,092.33
  5. Step 5: Solve for x
    x = 713,092.33/958.74
  6. Step 6: Final answer
    x = 743.78

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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.