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Finding the Fourth Proportional to 967.07, 1,450.61 and 273.81

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Solution

The fourth proportional to 967.07, 1,450.61 and 273.81 is: 410.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.07 : 1,450.61 = 273.81 : x
  2. Step 2: Convert to fraction form
    967.07/1,450.61 = 273.81/x
  3. Step 3: Cross multiply
    967.07x = 1,450.61 × 273.81
  4. Step 4: Simplify right side
    967.07x = 397,196.62
  5. Step 5: Solve for x
    x = 397,196.62/967.07
  6. Step 6: Final answer
    x = 410.72

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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.