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Finding the Fourth Proportional to 911.82, 1,256.64 and 745.50

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Solution

The fourth proportional to 911.82, 1,256.64 and 745.50 is: 1,027.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.82 : 1,256.64 = 745.50 : x
  2. Step 2: Convert to fraction form
    911.82/1,256.64 = 745.50/x
  3. Step 3: Cross multiply
    911.82x = 1,256.64 × 745.50
  4. Step 4: Simplify right side
    911.82x = 936,825.12
  5. Step 5: Solve for x
    x = 936,825.12/911.82
  6. Step 6: Final answer
    x = 1,027.42

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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.