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Finding the Fourth Proportional to 669.05, 1,003.13 and 206.67

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Solution

The fourth proportional to 669.05, 1,003.13 and 206.67 is: 309.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.05 : 1,003.13 = 206.67 : x
  2. Step 2: Convert to fraction form
    669.05/1,003.13 = 206.67/x
  3. Step 3: Cross multiply
    669.05x = 1,003.13 × 206.67
  4. Step 4: Simplify right side
    669.05x = 207,316.88
  5. Step 5: Solve for x
    x = 207,316.88/669.05
  6. Step 6: Final answer
    x = 309.87

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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.