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Finding the Fourth Proportional to 949.49, 1,310.39 and 576.44

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Solution

The fourth proportional to 949.49, 1,310.39 and 576.44 is: 795.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.49 : 1,310.39 = 576.44 : x
  2. Step 2: Convert to fraction form
    949.49/1,310.39 = 576.44/x
  3. Step 3: Cross multiply
    949.49x = 1,310.39 × 576.44
  4. Step 4: Simplify right side
    949.49x = 755,361.21
  5. Step 5: Solve for x
    x = 755,361.21/949.49
  6. Step 6: Final answer
    x = 795.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.