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Finding the Fourth Proportional to 693.35, 1,040.23 and 206.41

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Solution

The fourth proportional to 693.35, 1,040.23 and 206.41 is: 309.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.35 : 1,040.23 = 206.41 : x
  2. Step 2: Convert to fraction form
    693.35/1,040.23 = 206.41/x
  3. Step 3: Cross multiply
    693.35x = 1,040.23 × 206.41
  4. Step 4: Simplify right side
    693.35x = 214,713.87
  5. Step 5: Solve for x
    x = 214,713.87/693.35
  6. Step 6: Final answer
    x = 309.68

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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.