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Finding the Fourth Proportional to 911.96, 1,258.50 and 518.96

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Solution

The fourth proportional to 911.96, 1,258.50 and 518.96 is: 716.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.96 : 1,258.50 = 518.96 : x
  2. Step 2: Convert to fraction form
    911.96/1,258.50 = 518.96/x
  3. Step 3: Cross multiply
    911.96x = 1,258.50 × 518.96
  4. Step 4: Simplify right side
    911.96x = 653,111.16
  5. Step 5: Solve for x
    x = 653,111.16/911.96
  6. Step 6: Final answer
    x = 716.16

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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.