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Finding the Fourth Proportional to 949.28, 1,309.32 and 600.44

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Solution

The fourth proportional to 949.28, 1,309.32 and 600.44 is: 828.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.28 : 1,309.32 = 600.44 : x
  2. Step 2: Convert to fraction form
    949.28/1,309.32 = 600.44/x
  3. Step 3: Cross multiply
    949.28x = 1,309.32 × 600.44
  4. Step 4: Simplify right side
    949.28x = 786,168.10
  5. Step 5: Solve for x
    x = 786,168.10/949.28
  6. Step 6: Final answer
    x = 828.17

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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.