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Finding the Fourth Proportional to 911.41, 1,257.77 and 518.42

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Solution

The fourth proportional to 911.41, 1,257.77 and 518.42 is: 715.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.41 : 1,257.77 = 518.42 : x
  2. Step 2: Convert to fraction form
    911.41/1,257.77 = 518.42/x
  3. Step 3: Cross multiply
    911.41x = 1,257.77 × 518.42
  4. Step 4: Simplify right side
    911.41x = 652,053.12
  5. Step 5: Solve for x
    x = 652,053.12/911.41
  6. Step 6: Final answer
    x = 715.43

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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.