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Finding the Fourth Proportional to 829.27, 1,243.90 and 341.78

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Solution

The fourth proportional to 829.27, 1,243.90 and 341.78 is: 512.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.27 : 1,243.90 = 341.78 : x
  2. Step 2: Convert to fraction form
    829.27/1,243.90 = 341.78/x
  3. Step 3: Cross multiply
    829.27x = 1,243.90 × 341.78
  4. Step 4: Simplify right side
    829.27x = 425,143.68
  5. Step 5: Solve for x
    x = 425,143.68/829.27
  6. Step 6: Final answer
    x = 512.67

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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.