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Finding the Fourth Proportional to 911.75, 1,257.86 and 538.66

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Solution

The fourth proportional to 911.75, 1,257.86 and 538.66 is: 743.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.75 : 1,257.86 = 538.66 : x
  2. Step 2: Convert to fraction form
    911.75/1,257.86 = 538.66/x
  3. Step 3: Cross multiply
    911.75x = 1,257.86 × 538.66
  4. Step 4: Simplify right side
    911.75x = 677,549.89
  5. Step 5: Solve for x
    x = 677,549.89/911.75
  6. Step 6: Final answer
    x = 743.13

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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.