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Finding the Fourth Proportional to 911.90, 1,257.64 and 770.79

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Solution

The fourth proportional to 911.90, 1,257.64 and 770.79 is: 1,063.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.90 : 1,257.64 = 770.79 : x
  2. Step 2: Convert to fraction form
    911.90/1,257.64 = 770.79/x
  3. Step 3: Cross multiply
    911.90x = 1,257.64 × 770.79
  4. Step 4: Simplify right side
    911.90x = 969,369.69
  5. Step 5: Solve for x
    x = 969,369.69/911.90
  6. Step 6: Final answer
    x = 1,063.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.