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Finding the Fourth Proportional to 892.52, 1,336.96 and 428.89

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Solution

The fourth proportional to 892.52, 1,336.96 and 428.89 is: 642.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.52 : 1,336.96 = 428.89 : x
  2. Step 2: Convert to fraction form
    892.52/1,336.96 = 428.89/x
  3. Step 3: Cross multiply
    892.52x = 1,336.96 × 428.89
  4. Step 4: Simplify right side
    892.52x = 573,408.77
  5. Step 5: Solve for x
    x = 573,408.77/892.52
  6. Step 6: Final answer
    x = 642.46

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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.