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Finding the Fourth Proportional to 911.25, 1,257.75 and 518.50

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Solution

The fourth proportional to 911.25, 1,257.75 and 518.50 is: 715.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.25 : 1,257.75 = 518.50 : x
  2. Step 2: Convert to fraction form
    911.25/1,257.75 = 518.50/x
  3. Step 3: Cross multiply
    911.25x = 1,257.75 × 518.50
  4. Step 4: Simplify right side
    911.25x = 652,146.41
  5. Step 5: Solve for x
    x = 652,146.41/911.25
  6. Step 6: Final answer
    x = 715.66

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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.