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Finding the Fourth Proportional to 911.36, 1,257.74 and 518.48

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Solution

The fourth proportional to 911.36, 1,257.74 and 518.48 is: 715.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.36 : 1,257.74 = 518.48 : x
  2. Step 2: Convert to fraction form
    911.36/1,257.74 = 518.48/x
  3. Step 3: Cross multiply
    911.36x = 1,257.74 × 518.48
  4. Step 4: Simplify right side
    911.36x = 652,113.04
  5. Step 5: Solve for x
    x = 652,113.04/911.36
  6. Step 6: Final answer
    x = 715.54

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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.