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Finding the Fourth Proportional to 960.45, 1,325.39 and 540.82

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Solution

The fourth proportional to 960.45, 1,325.39 and 540.82 is: 746.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.45 : 1,325.39 = 540.82 : x
  2. Step 2: Convert to fraction form
    960.45/1,325.39 = 540.82/x
  3. Step 3: Cross multiply
    960.45x = 1,325.39 × 540.82
  4. Step 4: Simplify right side
    960.45x = 716,791.40
  5. Step 5: Solve for x
    x = 716,791.40/960.45
  6. Step 6: Final answer
    x = 746.31

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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.