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Finding the Fourth Proportional to 941.28, 1,408.86 and 851.46

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Solution

The fourth proportional to 941.28, 1,408.86 and 851.46 is: 1,274.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.28 : 1,408.86 = 851.46 : x
  2. Step 2: Convert to fraction form
    941.28/1,408.86 = 851.46/x
  3. Step 3: Cross multiply
    941.28x = 1,408.86 × 851.46
  4. Step 4: Simplify right side
    941.28x = 1,199,587.94
  5. Step 5: Solve for x
    x = 1,199,587.94/941.28
  6. Step 6: Final answer
    x = 1,274.42

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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.