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Finding the Fourth Proportional to 682.60, 941.66 and 495.80

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Solution

The fourth proportional to 682.60, 941.66 and 495.80 is: 683.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.60 : 941.66 = 495.80 : x
  2. Step 2: Convert to fraction form
    682.60/941.66 = 495.80/x
  3. Step 3: Cross multiply
    682.60x = 941.66 × 495.80
  4. Step 4: Simplify right side
    682.60x = 466,875.03
  5. Step 5: Solve for x
    x = 466,875.03/682.60
  6. Step 6: Final answer
    x = 683.97

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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.