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Finding the Fourth Proportional to 911.50, 1,257.40 and 579.36

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Solution

The fourth proportional to 911.50, 1,257.40 and 579.36 is: 799.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.50 : 1,257.40 = 579.36 : x
  2. Step 2: Convert to fraction form
    911.50/1,257.40 = 579.36/x
  3. Step 3: Cross multiply
    911.50x = 1,257.40 × 579.36
  4. Step 4: Simplify right side
    911.50x = 728,487.26
  5. Step 5: Solve for x
    x = 728,487.26/911.50
  6. Step 6: Final answer
    x = 799.22

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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.