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Finding the Fourth Proportional to 911.80, 1,367.70 and 756.28

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Solution

The fourth proportional to 911.80, 1,367.70 and 756.28 is: 1,134.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.80 : 1,367.70 = 756.28 : x
  2. Step 2: Convert to fraction form
    911.80/1,367.70 = 756.28/x
  3. Step 3: Cross multiply
    911.80x = 1,367.70 × 756.28
  4. Step 4: Simplify right side
    911.80x = 1,034,360.74
  5. Step 5: Solve for x
    x = 1,034,360.74/911.80
  6. Step 6: Final answer
    x = 1,134.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.