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Finding the Fourth Proportional to 949.88, 1,422.29 and 743.48

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Solution

The fourth proportional to 949.88, 1,422.29 and 743.48 is: 1,113.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.88 : 1,422.29 = 743.48 : x
  2. Step 2: Convert to fraction form
    949.88/1,422.29 = 743.48/x
  3. Step 3: Cross multiply
    949.88x = 1,422.29 × 743.48
  4. Step 4: Simplify right side
    949.88x = 1,057,433.34
  5. Step 5: Solve for x
    x = 1,057,433.34/949.88
  6. Step 6: Final answer
    x = 1,113.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.