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Finding the Fourth Proportional to 939.13, 1,296.14 and 566.33

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Solution

The fourth proportional to 939.13, 1,296.14 and 566.33 is: 781.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.13 : 1,296.14 = 566.33 : x
  2. Step 2: Convert to fraction form
    939.13/1,296.14 = 566.33/x
  3. Step 3: Cross multiply
    939.13x = 1,296.14 × 566.33
  4. Step 4: Simplify right side
    939.13x = 734,033.65
  5. Step 5: Solve for x
    x = 734,033.65/939.13
  6. Step 6: Final answer
    x = 781.61

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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.