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Finding the Fourth Proportional to 892.21, 1,337.37 and 429.70

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Solution

The fourth proportional to 892.21, 1,337.37 and 429.70 is: 644.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.21 : 1,337.37 = 429.70 : x
  2. Step 2: Convert to fraction form
    892.21/1,337.37 = 429.70/x
  3. Step 3: Cross multiply
    892.21x = 1,337.37 × 429.70
  4. Step 4: Simplify right side
    892.21x = 574,667.89
  5. Step 5: Solve for x
    x = 574,667.89/892.21
  6. Step 6: Final answer
    x = 644.09

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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.