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Finding the Fourth Proportional to 679.75, 1,019.53 and 192.83

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Solution

The fourth proportional to 679.75, 1,019.53 and 192.83 is: 289.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.75 : 1,019.53 = 192.83 : x
  2. Step 2: Convert to fraction form
    679.75/1,019.53 = 192.83/x
  3. Step 3: Cross multiply
    679.75x = 1,019.53 × 192.83
  4. Step 4: Simplify right side
    679.75x = 196,595.97
  5. Step 5: Solve for x
    x = 196,595.97/679.75
  6. Step 6: Final answer
    x = 289.22

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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.