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Finding the Fourth Proportional to 911.14, 1,257.53 and 538.09

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Solution

The fourth proportional to 911.14, 1,257.53 and 538.09 is: 742.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.14 : 1,257.53 = 538.09 : x
  2. Step 2: Convert to fraction form
    911.14/1,257.53 = 538.09/x
  3. Step 3: Cross multiply
    911.14x = 1,257.53 × 538.09
  4. Step 4: Simplify right side
    911.14x = 676,664.32
  5. Step 5: Solve for x
    x = 676,664.32/911.14
  6. Step 6: Final answer
    x = 742.66

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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.