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Finding the Fourth Proportional to 960.01, 1,324.70 and 540.31

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Solution

The fourth proportional to 960.01, 1,324.70 and 540.31 is: 745.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.01 : 1,324.70 = 540.31 : x
  2. Step 2: Convert to fraction form
    960.01/1,324.70 = 540.31/x
  3. Step 3: Cross multiply
    960.01x = 1,324.70 × 540.31
  4. Step 4: Simplify right side
    960.01x = 715,748.66
  5. Step 5: Solve for x
    x = 715,748.66/960.01
  6. Step 6: Final answer
    x = 745.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.