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Finding the Fourth Proportional to 669.66, 1,003.41 and 381.30

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Solution

The fourth proportional to 669.66, 1,003.41 and 381.30 is: 571.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.66 : 1,003.41 = 381.30 : x
  2. Step 2: Convert to fraction form
    669.66/1,003.41 = 381.30/x
  3. Step 3: Cross multiply
    669.66x = 1,003.41 × 381.30
  4. Step 4: Simplify right side
    669.66x = 382,600.23
  5. Step 5: Solve for x
    x = 382,600.23/669.66
  6. Step 6: Final answer
    x = 571.34

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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.