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Finding the Fourth Proportional to 960.03, 1,324.95 and 540.45

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Solution

The fourth proportional to 960.03, 1,324.95 and 540.45 is: 745.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.03 : 1,324.95 = 540.45 : x
  2. Step 2: Convert to fraction form
    960.03/1,324.95 = 540.45/x
  3. Step 3: Cross multiply
    960.03x = 1,324.95 × 540.45
  4. Step 4: Simplify right side
    960.03x = 716,069.23
  5. Step 5: Solve for x
    x = 716,069.23/960.03
  6. Step 6: Final answer
    x = 745.88

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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.