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Finding the Fourth Proportional to 958.87, 1,322.78 and 834.33

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Solution

The fourth proportional to 958.87, 1,322.78 and 834.33 is: 1,150.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.87 : 1,322.78 = 834.33 : x
  2. Step 2: Convert to fraction form
    958.87/1,322.78 = 834.33/x
  3. Step 3: Cross multiply
    958.87x = 1,322.78 × 834.33
  4. Step 4: Simplify right side
    958.87x = 1,103,640.52
  5. Step 5: Solve for x
    x = 1,103,640.52/958.87
  6. Step 6: Final answer
    x = 1,150.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.