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Finding the Fourth Proportional to 892.53, 1,337.87 and 429.62

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Solution

The fourth proportional to 892.53, 1,337.87 and 429.62 is: 643.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.53 : 1,337.87 = 429.62 : x
  2. Step 2: Convert to fraction form
    892.53/1,337.87 = 429.62/x
  3. Step 3: Cross multiply
    892.53x = 1,337.87 × 429.62
  4. Step 4: Simplify right side
    892.53x = 574,770.09
  5. Step 5: Solve for x
    x = 574,770.09/892.53
  6. Step 6: Final answer
    x = 643.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.