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Finding the Fourth Proportional to 911.67, 1,365.93 and 717.91

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Solution

The fourth proportional to 911.67, 1,365.93 and 717.91 is: 1,075.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.67 : 1,365.93 = 717.91 : x
  2. Step 2: Convert to fraction form
    911.67/1,365.93 = 717.91/x
  3. Step 3: Cross multiply
    911.67x = 1,365.93 × 717.91
  4. Step 4: Simplify right side
    911.67x = 980,611.39
  5. Step 5: Solve for x
    x = 980,611.39/911.67
  6. Step 6: Final answer
    x = 1,075.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.