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Finding the Fourth Proportional to 683.21, 1,024.74 and 189.65

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Solution

The fourth proportional to 683.21, 1,024.74 and 189.65 is: 284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.21 : 1,024.74 = 189.65 : x
  2. Step 2: Convert to fraction form
    683.21/1,024.74 = 189.65/x
  3. Step 3: Cross multiply
    683.21x = 1,024.74 × 189.65
  4. Step 4: Simplify right side
    683.21x = 194,336.82
  5. Step 5: Solve for x
    x = 194,336.82/683.21
  6. Step 6: Final answer
    x = 284.45

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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.