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Finding the Fourth Proportional to 984.44, 1,474.26 and 694.52

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Solution

The fourth proportional to 984.44, 1,474.26 and 694.52 is: 1,040.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.44 : 1,474.26 = 694.52 : x
  2. Step 2: Convert to fraction form
    984.44/1,474.26 = 694.52/x
  3. Step 3: Cross multiply
    984.44x = 1,474.26 × 694.52
  4. Step 4: Simplify right side
    984.44x = 1,023,903.06
  5. Step 5: Solve for x
    x = 1,023,903.06/984.44
  6. Step 6: Final answer
    x = 1,040.09

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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.