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Finding the Fourth Proportional to 960.22, 1,325.26 and 567.22

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Solution

The fourth proportional to 960.22, 1,325.26 and 567.22 is: 782.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.22 : 1,325.26 = 567.22 : x
  2. Step 2: Convert to fraction form
    960.22/1,325.26 = 567.22/x
  3. Step 3: Cross multiply
    960.22x = 1,325.26 × 567.22
  4. Step 4: Simplify right side
    960.22x = 751,713.98
  5. Step 5: Solve for x
    x = 751,713.98/960.22
  6. Step 6: Final answer
    x = 782.86

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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.