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Finding the Fourth Proportional to 960.73, 1,442.01 and 596.23

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Solution

The fourth proportional to 960.73, 1,442.01 and 596.23 is: 894.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.73 : 1,442.01 = 596.23 : x
  2. Step 2: Convert to fraction form
    960.73/1,442.01 = 596.23/x
  3. Step 3: Cross multiply
    960.73x = 1,442.01 × 596.23
  4. Step 4: Simplify right side
    960.73x = 859,769.62
  5. Step 5: Solve for x
    x = 859,769.62/960.73
  6. Step 6: Final answer
    x = 894.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.