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Finding the Fourth Proportional to 911.89, 1,258.44 and 518.98

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Solution

The fourth proportional to 911.89, 1,258.44 and 518.98 is: 716.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.89 : 1,258.44 = 518.98 : x
  2. Step 2: Convert to fraction form
    911.89/1,258.44 = 518.98/x
  3. Step 3: Cross multiply
    911.89x = 1,258.44 × 518.98
  4. Step 4: Simplify right side
    911.89x = 653,105.19
  5. Step 5: Solve for x
    x = 653,105.19/911.89
  6. Step 6: Final answer
    x = 716.21

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Why These Related Problems?

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