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Finding the Fourth Proportional to 960.21, 1,325.12 and 540.72

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Solution

The fourth proportional to 960.21, 1,325.12 and 540.72 is: 746.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.21 : 1,325.12 = 540.72 : x
  2. Step 2: Convert to fraction form
    960.21/1,325.12 = 540.72/x
  3. Step 3: Cross multiply
    960.21x = 1,325.12 × 540.72
  4. Step 4: Simplify right side
    960.21x = 716,516.18
  5. Step 5: Solve for x
    x = 716,516.18/960.21
  6. Step 6: Final answer
    x = 746.21

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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.