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Finding the Fourth Proportional to 939.36, 1,296.18 and 590.16

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Solution

The fourth proportional to 939.36, 1,296.18 and 590.16 is: 814.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.36 : 1,296.18 = 590.16 : x
  2. Step 2: Convert to fraction form
    939.36/1,296.18 = 590.16/x
  3. Step 3: Cross multiply
    939.36x = 1,296.18 × 590.16
  4. Step 4: Simplify right side
    939.36x = 764,953.59
  5. Step 5: Solve for x
    x = 764,953.59/939.36
  6. Step 6: Final answer
    x = 814.33

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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.