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Finding the Fourth Proportional to 683, 942.19 and 461.57

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Solution

The fourth proportional to 683, 942.19 and 461.57 is: 636.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    683 : 942.19 = 461.57 : x
  2. Step 2: Convert to fraction form
    683/942.19 = 461.57/x
  3. Step 3: Cross multiply
    683x = 942.19 × 461.57
  4. Step 4: Simplify right side
    683x = 434,886.64
  5. Step 5: Solve for x
    x = 434,886.64/683
  6. Step 6: Final answer
    x = 636.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.