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Finding the Fourth Proportional to 679.08, 1,018.53 and 192.17

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Solution

The fourth proportional to 679.08, 1,018.53 and 192.17 is: 288.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.08 : 1,018.53 = 192.17 : x
  2. Step 2: Convert to fraction form
    679.08/1,018.53 = 192.17/x
  3. Step 3: Cross multiply
    679.08x = 1,018.53 × 192.17
  4. Step 4: Simplify right side
    679.08x = 195,730.91
  5. Step 5: Solve for x
    x = 195,730.91/679.08
  6. Step 6: Final answer
    x = 288.23

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