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Finding the Fourth Proportional to 694.15, 1,040.88 and 231.77

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Solution

The fourth proportional to 694.15, 1,040.88 and 231.77 is: 347.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.15 : 1,040.88 = 231.77 : x
  2. Step 2: Convert to fraction form
    694.15/1,040.88 = 231.77/x
  3. Step 3: Cross multiply
    694.15x = 1,040.88 × 231.77
  4. Step 4: Simplify right side
    694.15x = 241,238.68
  5. Step 5: Solve for x
    x = 241,238.68/694.15
  6. Step 6: Final answer
    x = 347.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.