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Finding the Fourth Proportional to 960.20, 1,325.04 and 540.62

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Solution

The fourth proportional to 960.20, 1,325.04 and 540.62 is: 746.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.20 : 1,325.04 = 540.62 : x
  2. Step 2: Convert to fraction form
    960.20/1,325.04 = 540.62/x
  3. Step 3: Cross multiply
    960.20x = 1,325.04 × 540.62
  4. Step 4: Simplify right side
    960.20x = 716,336.50
  5. Step 5: Solve for x
    x = 716,336.50/960.20
  6. Step 6: Final answer
    x = 746.03

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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.