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Finding the Fourth Proportional to 921.92, 1,385.04 and 850.64

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Solution

The fourth proportional to 921.92, 1,385.04 and 850.64 is: 1,277.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.92 : 1,385.04 = 850.64 : x
  2. Step 2: Convert to fraction form
    921.92/1,385.04 = 850.64/x
  3. Step 3: Cross multiply
    921.92x = 1,385.04 × 850.64
  4. Step 4: Simplify right side
    921.92x = 1,178,170.43
  5. Step 5: Solve for x
    x = 1,178,170.43/921.92
  6. Step 6: Final answer
    x = 1,277.95

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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.