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Finding the Fourth Proportional to 939.23, 1,296.02 and 580.26

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Solution

The fourth proportional to 939.23, 1,296.02 and 580.26 is: 800.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.23 : 1,296.02 = 580.26 : x
  2. Step 2: Convert to fraction form
    939.23/1,296.02 = 580.26/x
  3. Step 3: Cross multiply
    939.23x = 1,296.02 × 580.26
  4. Step 4: Simplify right side
    939.23x = 752,027.84
  5. Step 5: Solve for x
    x = 752,027.84/939.23
  6. Step 6: Final answer
    x = 800.69

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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.