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Finding the Fourth Proportional to 939.38, 1,296.64 and 590.06

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Solution

The fourth proportional to 939.38, 1,296.64 and 590.06 is: 814.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.38 : 1,296.64 = 590.06 : x
  2. Step 2: Convert to fraction form
    939.38/1,296.64 = 590.06/x
  3. Step 3: Cross multiply
    939.38x = 1,296.64 × 590.06
  4. Step 4: Simplify right side
    939.38x = 765,099.38
  5. Step 5: Solve for x
    x = 765,099.38/939.38
  6. Step 6: Final answer
    x = 814.48

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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.