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Finding the Fourth Proportional to 949.26, 1,309.86 and 599.88

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Solution

The fourth proportional to 949.26, 1,309.86 and 599.88 is: 827.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.26 : 1,309.86 = 599.88 : x
  2. Step 2: Convert to fraction form
    949.26/1,309.86 = 599.88/x
  3. Step 3: Cross multiply
    949.26x = 1,309.86 × 599.88
  4. Step 4: Simplify right side
    949.26x = 785,758.82
  5. Step 5: Solve for x
    x = 785,758.82/949.26
  6. Step 6: Final answer
    x = 827.76

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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.