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Finding the Fourth Proportional to 892.50, 1,338.56 and 344.50

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Solution

The fourth proportional to 892.50, 1,338.56 and 344.50 is: 516.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.50 : 1,338.56 = 344.50 : x
  2. Step 2: Convert to fraction form
    892.50/1,338.56 = 344.50/x
  3. Step 3: Cross multiply
    892.50x = 1,338.56 × 344.50
  4. Step 4: Simplify right side
    892.50x = 461,133.92
  5. Step 5: Solve for x
    x = 461,133.92/892.50
  6. Step 6: Final answer
    x = 516.68

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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.