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Finding the Fourth Proportional to 949.22, 1,309.67 and 613.14

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Solution

The fourth proportional to 949.22, 1,309.67 and 613.14 is: 845.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.22 : 1,309.67 = 613.14 : x
  2. Step 2: Convert to fraction form
    949.22/1,309.67 = 613.14/x
  3. Step 3: Cross multiply
    949.22x = 1,309.67 × 613.14
  4. Step 4: Simplify right side
    949.22x = 803,009.32
  5. Step 5: Solve for x
    x = 803,009.32/949.22
  6. Step 6: Final answer
    x = 845.96

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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.