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Finding the Fourth Proportional to 911.46, 1,368.56 and 728.30

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Solution

The fourth proportional to 911.46, 1,368.56 and 728.30 is: 1,093.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.46 : 1,368.56 = 728.30 : x
  2. Step 2: Convert to fraction form
    911.46/1,368.56 = 728.30/x
  3. Step 3: Cross multiply
    911.46x = 1,368.56 × 728.30
  4. Step 4: Simplify right side
    911.46x = 996,722.25
  5. Step 5: Solve for x
    x = 996,722.25/911.46
  6. Step 6: Final answer
    x = 1,093.54

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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.