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Finding the Fourth Proportional to 911.68, 1,367.04 and 455.68

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Solution

The fourth proportional to 911.68, 1,367.04 and 455.68 is: 683.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.68 : 1,367.04 = 455.68 : x
  2. Step 2: Convert to fraction form
    911.68/1,367.04 = 455.68/x
  3. Step 3: Cross multiply
    911.68x = 1,367.04 × 455.68
  4. Step 4: Simplify right side
    911.68x = 622,932.79
  5. Step 5: Solve for x
    x = 622,932.79/911.68
  6. Step 6: Final answer
    x = 683.28

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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.