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Finding the Fourth Proportional to 949.36, 1,309.75 and 576.09

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Solution

The fourth proportional to 949.36, 1,309.75 and 576.09 is: 794.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.36 : 1,309.75 = 576.09 : x
  2. Step 2: Convert to fraction form
    949.36/1,309.75 = 576.09/x
  3. Step 3: Cross multiply
    949.36x = 1,309.75 × 576.09
  4. Step 4: Simplify right side
    949.36x = 754,533.88
  5. Step 5: Solve for x
    x = 754,533.88/949.36
  6. Step 6: Final answer
    x = 794.78

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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.