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Finding the Fourth Proportional to 694.08, 1,040.64 and 231.60

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Solution

The fourth proportional to 694.08, 1,040.64 and 231.60 is: 347.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.08 : 1,040.64 = 231.60 : x
  2. Step 2: Convert to fraction form
    694.08/1,040.64 = 231.60/x
  3. Step 3: Cross multiply
    694.08x = 1,040.64 × 231.60
  4. Step 4: Simplify right side
    694.08x = 241,012.22
  5. Step 5: Solve for x
    x = 241,012.22/694.08
  6. Step 6: Final answer
    x = 347.24

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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.