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Finding the Fourth Proportional to 958.41, 1,436.40 and 828.41

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Solution

The fourth proportional to 958.41, 1,436.40 and 828.41 is: 1,241.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.41 : 1,436.40 = 828.41 : x
  2. Step 2: Convert to fraction form
    958.41/1,436.40 = 828.41/x
  3. Step 3: Cross multiply
    958.41x = 1,436.40 × 828.41
  4. Step 4: Simplify right side
    958.41x = 1,189,920.94
  5. Step 5: Solve for x
    x = 1,189,920.94/958.41
  6. Step 6: Final answer
    x = 1,241.56

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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.