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Finding the Fourth Proportional to 949.75, 1,310.74 and 576.82

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Solution

The fourth proportional to 949.75, 1,310.74 and 576.82 is: 796.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.75 : 1,310.74 = 576.82 : x
  2. Step 2: Convert to fraction form
    949.75/1,310.74 = 576.82/x
  3. Step 3: Cross multiply
    949.75x = 1,310.74 × 576.82
  4. Step 4: Simplify right side
    949.75x = 756,061.24
  5. Step 5: Solve for x
    x = 756,061.24/949.75
  6. Step 6: Final answer
    x = 796.07

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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.