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Finding the Fourth Proportional to 679.28, 1,018.93 and 192.33

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Solution

The fourth proportional to 679.28, 1,018.93 and 192.33 is: 288.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.28 : 1,018.93 = 192.33 : x
  2. Step 2: Convert to fraction form
    679.28/1,018.93 = 192.33/x
  3. Step 3: Cross multiply
    679.28x = 1,018.93 × 192.33
  4. Step 4: Simplify right side
    679.28x = 195,974.17
  5. Step 5: Solve for x
    x = 195,974.17/679.28
  6. Step 6: Final answer
    x = 288.50

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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.