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Finding the Fourth Proportional to 960.05, 1,324.89 and 567.09

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Solution

The fourth proportional to 960.05, 1,324.89 and 567.09 is: 782.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.05 : 1,324.89 = 567.09 : x
  2. Step 2: Convert to fraction form
    960.05/1,324.89 = 567.09/x
  3. Step 3: Cross multiply
    960.05x = 1,324.89 × 567.09
  4. Step 4: Simplify right side
    960.05x = 751,331.87
  5. Step 5: Solve for x
    x = 751,331.87/960.05
  6. Step 6: Final answer
    x = 782.59

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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.