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Finding the Fourth Proportional to 939.21, 1,296.09 and 584.95

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Solution

The fourth proportional to 939.21, 1,296.09 and 584.95 is: 807.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.21 : 1,296.09 = 584.95 : x
  2. Step 2: Convert to fraction form
    939.21/1,296.09 = 584.95/x
  3. Step 3: Cross multiply
    939.21x = 1,296.09 × 584.95
  4. Step 4: Simplify right side
    939.21x = 758,144.92
  5. Step 5: Solve for x
    x = 758,144.92/939.21
  6. Step 6: Final answer
    x = 807.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.