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Finding the Fourth Proportional to 1,074.28, 1,476.52 and 949.20

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Solution

The fourth proportional to 1,074.28, 1,476.52 and 949.20 is: 1,304.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.28 : 1,476.52 = 949.20 : x
  2. Step 2: Convert to fraction form
    1,074.28/1,476.52 = 949.20/x
  3. Step 3: Cross multiply
    1,074.28x = 1,476.52 × 949.20
  4. Step 4: Simplify right side
    1,074.28x = 1,401,512.78
  5. Step 5: Solve for x
    x = 1,401,512.78/1,074.28
  6. Step 6: Final answer
    x = 1,304.61

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.