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Finding the Fourth Proportional to 693.69, 1,040.96 and 261.15

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Solution

The fourth proportional to 693.69, 1,040.96 and 261.15 is: 391.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.69 : 1,040.96 = 261.15 : x
  2. Step 2: Convert to fraction form
    693.69/1,040.96 = 261.15/x
  3. Step 3: Cross multiply
    693.69x = 1,040.96 × 261.15
  4. Step 4: Simplify right side
    693.69x = 271,845.40
  5. Step 5: Solve for x
    x = 271,845.40/693.69
  6. Step 6: Final answer
    x = 391.88

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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.