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Finding the Fourth Proportional to 693.82, 1,040.54 and 206.78

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Solution

The fourth proportional to 693.82, 1,040.54 and 206.78 is: 310.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.82 : 1,040.54 = 206.78 : x
  2. Step 2: Convert to fraction form
    693.82/1,040.54 = 206.78/x
  3. Step 3: Cross multiply
    693.82x = 1,040.54 × 206.78
  4. Step 4: Simplify right side
    693.82x = 215,162.86
  5. Step 5: Solve for x
    x = 215,162.86/693.82
  6. Step 6: Final answer
    x = 310.12

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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.