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Finding the Fourth Proportional to 911.91, 1,258.59 and 518.88

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Solution

The fourth proportional to 911.91, 1,258.59 and 518.88 is: 716.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.91 : 1,258.59 = 518.88 : x
  2. Step 2: Convert to fraction form
    911.91/1,258.59 = 518.88/x
  3. Step 3: Cross multiply
    911.91x = 1,258.59 × 518.88
  4. Step 4: Simplify right side
    911.91x = 653,057.18
  5. Step 5: Solve for x
    x = 653,057.18/911.91
  6. Step 6: Final answer
    x = 716.14

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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.