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Finding the Fourth Proportional to 1,021.62, 1,538.87 and 960.12

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Solution

The fourth proportional to 1,021.62, 1,538.87 and 960.12 is: 1,446.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.62 : 1,538.87 = 960.12 : x
  2. Step 2: Convert to fraction form
    1,021.62/1,538.87 = 960.12/x
  3. Step 3: Cross multiply
    1,021.62x = 1,538.87 × 960.12
  4. Step 4: Simplify right side
    1,021.62x = 1,477,499.86
  5. Step 5: Solve for x
    x = 1,477,499.86/1,021.62
  6. Step 6: Final answer
    x = 1,446.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.