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Finding the Fourth Proportional to 892.43, 1,337.03 and 429.55

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Solution

The fourth proportional to 892.43, 1,337.03 and 429.55 is: 643.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.43 : 1,337.03 = 429.55 : x
  2. Step 2: Convert to fraction form
    892.43/1,337.03 = 429.55/x
  3. Step 3: Cross multiply
    892.43x = 1,337.03 × 429.55
  4. Step 4: Simplify right side
    892.43x = 574,317.36
  5. Step 5: Solve for x
    x = 574,317.36/892.43
  6. Step 6: Final answer
    x = 643.54

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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.