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Finding the Fourth Proportional to 694.19, 1,040.93 and 231.80

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Solution

The fourth proportional to 694.19, 1,040.93 and 231.80 is: 347.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.19 : 1,040.93 = 231.80 : x
  2. Step 2: Convert to fraction form
    694.19/1,040.93 = 231.80/x
  3. Step 3: Cross multiply
    694.19x = 1,040.93 × 231.80
  4. Step 4: Simplify right side
    694.19x = 241,286.42
  5. Step 5: Solve for x
    x = 241,286.42/694.19
  6. Step 6: Final answer
    x = 347.58

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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.