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Finding the Fourth Proportional to 911.48, 1,368.43 and 541.97

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Solution

The fourth proportional to 911.48, 1,368.43 and 541.97 is: 813.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.48 : 1,368.43 = 541.97 : x
  2. Step 2: Convert to fraction form
    911.48/1,368.43 = 541.97/x
  3. Step 3: Cross multiply
    911.48x = 1,368.43 × 541.97
  4. Step 4: Simplify right side
    911.48x = 741,648.01
  5. Step 5: Solve for x
    x = 741,648.01/911.48
  6. Step 6: Final answer
    x = 813.67

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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.