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Finding the Fourth Proportional to 940.44, 1,409.10 and 665.17

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Solution

The fourth proportional to 940.44, 1,409.10 and 665.17 is: 996.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.44 : 1,409.10 = 665.17 : x
  2. Step 2: Convert to fraction form
    940.44/1,409.10 = 665.17/x
  3. Step 3: Cross multiply
    940.44x = 1,409.10 × 665.17
  4. Step 4: Simplify right side
    940.44x = 937,288.77
  5. Step 5: Solve for x
    x = 937,288.77/940.44
  6. Step 6: Final answer
    x = 996.65

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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.