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Finding the Fourth Proportional to 911.26, 1,257 and 538.12

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Solution

The fourth proportional to 911.26, 1,257 and 538.12 is: 742.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.26 : 1,257 = 538.12 : x
  2. Step 2: Convert to fraction form
    911.26/1,257 = 538.12/x
  3. Step 3: Cross multiply
    911.26x = 1,257 × 538.12
  4. Step 4: Simplify right side
    911.26x = 676,416.84
  5. Step 5: Solve for x
    x = 676,416.84/911.26
  6. Step 6: Final answer
    x = 742.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.