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Finding the Fourth Proportional to 683.17, 1,024.77 and 196.23

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Solution

The fourth proportional to 683.17, 1,024.77 and 196.23 is: 294.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.17 : 1,024.77 = 196.23 : x
  2. Step 2: Convert to fraction form
    683.17/1,024.77 = 196.23/x
  3. Step 3: Cross multiply
    683.17x = 1,024.77 × 196.23
  4. Step 4: Simplify right side
    683.17x = 201,089.43
  5. Step 5: Solve for x
    x = 201,089.43/683.17
  6. Step 6: Final answer
    x = 294.35

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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.