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Finding the Fourth Proportional to 939.44, 1,409.16 and 682.16

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Solution

The fourth proportional to 939.44, 1,409.16 and 682.16 is: 1,023.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.44 : 1,409.16 = 682.16 : x
  2. Step 2: Convert to fraction form
    939.44/1,409.16 = 682.16/x
  3. Step 3: Cross multiply
    939.44x = 1,409.16 × 682.16
  4. Step 4: Simplify right side
    939.44x = 961,272.59
  5. Step 5: Solve for x
    x = 961,272.59/939.44
  6. Step 6: Final answer
    x = 1,023.24

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Why These Related Problems?

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