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Finding the Fourth Proportional to 939.49, 1,408.93 and 445.84

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Solution

The fourth proportional to 939.49, 1,408.93 and 445.84 is: 668.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.49 : 1,408.93 = 445.84 : x
  2. Step 2: Convert to fraction form
    939.49/1,408.93 = 445.84/x
  3. Step 3: Cross multiply
    939.49x = 1,408.93 × 445.84
  4. Step 4: Simplify right side
    939.49x = 628,157.35
  5. Step 5: Solve for x
    x = 628,157.35/939.49
  6. Step 6: Final answer
    x = 668.62

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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.