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Finding the Fourth Proportional to 949.69, 1,310.69 and 576.81

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Solution

The fourth proportional to 949.69, 1,310.69 and 576.81 is: 796.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.69 : 1,310.69 = 576.81 : x
  2. Step 2: Convert to fraction form
    949.69/1,310.69 = 576.81/x
  3. Step 3: Cross multiply
    949.69x = 1,310.69 × 576.81
  4. Step 4: Simplify right side
    949.69x = 756,016.21
  5. Step 5: Solve for x
    x = 756,016.21/949.69
  6. Step 6: Final answer
    x = 796.07

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