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Finding the Fourth Proportional to 669.16, 1,003.82 and 206.85

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Solution

The fourth proportional to 669.16, 1,003.82 and 206.85 is: 310.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.16 : 1,003.82 = 206.85 : x
  2. Step 2: Convert to fraction form
    669.16/1,003.82 = 206.85/x
  3. Step 3: Cross multiply
    669.16x = 1,003.82 × 206.85
  4. Step 4: Simplify right side
    669.16x = 207,643.48
  5. Step 5: Solve for x
    x = 207,643.48/669.16
  6. Step 6: Final answer
    x = 310.30

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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.