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Finding the Fourth Proportional to 911.29, 1,257.65 and 518.34

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Solution

The fourth proportional to 911.29, 1,257.65 and 518.34 is: 715.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.29 : 1,257.65 = 518.34 : x
  2. Step 2: Convert to fraction form
    911.29/1,257.65 = 518.34/x
  3. Step 3: Cross multiply
    911.29x = 1,257.65 × 518.34
  4. Step 4: Simplify right side
    911.29x = 651,890.30
  5. Step 5: Solve for x
    x = 651,890.30/911.29
  6. Step 6: Final answer
    x = 715.35

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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.