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Finding the Fourth Proportional to 967.07, 1,450.46 and 273.80

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Solution

The fourth proportional to 967.07, 1,450.46 and 273.80 is: 410.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.07 : 1,450.46 = 273.80 : x
  2. Step 2: Convert to fraction form
    967.07/1,450.46 = 273.80/x
  3. Step 3: Cross multiply
    967.07x = 1,450.46 × 273.80
  4. Step 4: Simplify right side
    967.07x = 397,127.33
  5. Step 5: Solve for x
    x = 397,127.33/967.07
  6. Step 6: Final answer
    x = 410.65

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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.