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Finding the Fourth Proportional to 693.41, 1,040.25 and 206.42

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Solution

The fourth proportional to 693.41, 1,040.25 and 206.42 is: 309.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.41 : 1,040.25 = 206.42 : x
  2. Step 2: Convert to fraction form
    693.41/1,040.25 = 206.42/x
  3. Step 3: Cross multiply
    693.41x = 1,040.25 × 206.42
  4. Step 4: Simplify right side
    693.41x = 214,728.41
  5. Step 5: Solve for x
    x = 214,728.41/693.41
  6. Step 6: Final answer
    x = 309.67

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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.