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Finding the Fourth Proportional to 911.22, 1,257.14 and 537.96

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Solution

The fourth proportional to 911.22, 1,257.14 and 537.96 is: 742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.22 : 1,257.14 = 537.96 : x
  2. Step 2: Convert to fraction form
    911.22/1,257.14 = 537.96/x
  3. Step 3: Cross multiply
    911.22x = 1,257.14 × 537.96
  4. Step 4: Simplify right side
    911.22x = 676,291.03
  5. Step 5: Solve for x
    x = 676,291.03/911.22
  6. Step 6: Final answer
    x = 742.18

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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.