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Finding the Fourth Proportional to 911.72, 1,258.20 and 518.78

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Solution

The fourth proportional to 911.72, 1,258.20 and 518.78 is: 715.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.72 : 1,258.20 = 518.78 : x
  2. Step 2: Convert to fraction form
    911.72/1,258.20 = 518.78/x
  3. Step 3: Cross multiply
    911.72x = 1,258.20 × 518.78
  4. Step 4: Simplify right side
    911.72x = 652,729.00
  5. Step 5: Solve for x
    x = 652,729.00/911.72
  6. Step 6: Final answer
    x = 715.93

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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.