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Finding the Fourth Proportional to 911.97, 1,258.53 and 519

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Solution

The fourth proportional to 911.97, 1,258.53 and 519 is: 716.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.97 : 1,258.53 = 519 : x
  2. Step 2: Convert to fraction form
    911.97/1,258.53 = 519/x
  3. Step 3: Cross multiply
    911.97x = 1,258.53 × 519
  4. Step 4: Simplify right side
    911.97x = 653,177.07
  5. Step 5: Solve for x
    x = 653,177.07/911.97
  6. Step 6: Final answer
    x = 716.23

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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.