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Finding the Fourth Proportional to 892.05, 1,337.91 and 242.64

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Solution

The fourth proportional to 892.05, 1,337.91 and 242.64 is: 363.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.05 : 1,337.91 = 242.64 : x
  2. Step 2: Convert to fraction form
    892.05/1,337.91 = 242.64/x
  3. Step 3: Cross multiply
    892.05x = 1,337.91 × 242.64
  4. Step 4: Simplify right side
    892.05x = 324,630.48
  5. Step 5: Solve for x
    x = 324,630.48/892.05
  6. Step 6: Final answer
    x = 363.92

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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.