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Finding the Fourth Proportional to 892.41, 1,337.24 and 567.09

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Solution

The fourth proportional to 892.41, 1,337.24 and 567.09 is: 849.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.41 : 1,337.24 = 567.09 : x
  2. Step 2: Convert to fraction form
    892.41/1,337.24 = 567.09/x
  3. Step 3: Cross multiply
    892.41x = 1,337.24 × 567.09
  4. Step 4: Simplify right side
    892.41x = 758,332.60
  5. Step 5: Solve for x
    x = 758,332.60/892.41
  6. Step 6: Final answer
    x = 849.76

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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.