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Finding the Fourth Proportional to 960.26, 1,324.74 and 605.94

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Solution

The fourth proportional to 960.26, 1,324.74 and 605.94 is: 835.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.26 : 1,324.74 = 605.94 : x
  2. Step 2: Convert to fraction form
    960.26/1,324.74 = 605.94/x
  3. Step 3: Cross multiply
    960.26x = 1,324.74 × 605.94
  4. Step 4: Simplify right side
    960.26x = 802,710.26
  5. Step 5: Solve for x
    x = 802,710.26/960.26
  6. Step 6: Final answer
    x = 835.93

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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.