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Finding the Fourth Proportional to 694.72, 1,041.20 and 261.44

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Solution

The fourth proportional to 694.72, 1,041.20 and 261.44 is: 391.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.72 : 1,041.20 = 261.44 : x
  2. Step 2: Convert to fraction form
    694.72/1,041.20 = 261.44/x
  3. Step 3: Cross multiply
    694.72x = 1,041.20 × 261.44
  4. Step 4: Simplify right side
    694.72x = 272,211.33
  5. Step 5: Solve for x
    x = 272,211.33/694.72
  6. Step 6: Final answer
    x = 391.83

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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.