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Finding the Fourth Proportional to 693.25, 1,040.03 and 206.26

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Solution

The fourth proportional to 693.25, 1,040.03 and 206.26 is: 309.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.25 : 1,040.03 = 206.26 : x
  2. Step 2: Convert to fraction form
    693.25/1,040.03 = 206.26/x
  3. Step 3: Cross multiply
    693.25x = 1,040.03 × 206.26
  4. Step 4: Simplify right side
    693.25x = 214,510.36
  5. Step 5: Solve for x
    x = 214,510.36/693.25
  6. Step 6: Final answer
    x = 309.43

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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.