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Finding the Fourth Proportional to 960.19, 1,324.98 and 540.41

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Solution

The fourth proportional to 960.19, 1,324.98 and 540.41 is: 745.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.19 : 1,324.98 = 540.41 : x
  2. Step 2: Convert to fraction form
    960.19/1,324.98 = 540.41/x
  3. Step 3: Cross multiply
    960.19x = 1,324.98 × 540.41
  4. Step 4: Simplify right side
    960.19x = 716,025.82
  5. Step 5: Solve for x
    x = 716,025.82/960.19
  6. Step 6: Final answer
    x = 745.71

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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.