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Finding the Fourth Proportional to 911.17, 1,257.51 and 518.23

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Solution

The fourth proportional to 911.17, 1,257.51 and 518.23 is: 715.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.17 : 1,257.51 = 518.23 : x
  2. Step 2: Convert to fraction form
    911.17/1,257.51 = 518.23/x
  3. Step 3: Cross multiply
    911.17x = 1,257.51 × 518.23
  4. Step 4: Simplify right side
    911.17x = 651,679.41
  5. Step 5: Solve for x
    x = 651,679.41/911.17
  6. Step 6: Final answer
    x = 715.21

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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.