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Finding the Fourth Proportional to 939.71, 1,296.61 and 590.24

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Solution

The fourth proportional to 939.71, 1,296.61 and 590.24 is: 814.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.71 : 1,296.61 = 590.24 : x
  2. Step 2: Convert to fraction form
    939.71/1,296.61 = 590.24/x
  3. Step 3: Cross multiply
    939.71x = 1,296.61 × 590.24
  4. Step 4: Simplify right side
    939.71x = 765,304.60
  5. Step 5: Solve for x
    x = 765,304.60/939.71
  6. Step 6: Final answer
    x = 814.41

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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.