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Finding the Fourth Proportional to 949.12, 1,309.97 and 617.83

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Solution

The fourth proportional to 949.12, 1,309.97 and 617.83 is: 852.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.12 : 1,309.97 = 617.83 : x
  2. Step 2: Convert to fraction form
    949.12/1,309.97 = 617.83/x
  3. Step 3: Cross multiply
    949.12x = 1,309.97 × 617.83
  4. Step 4: Simplify right side
    949.12x = 809,338.77
  5. Step 5: Solve for x
    x = 809,338.77/949.12
  6. Step 6: Final answer
    x = 852.73

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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.