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Finding the Fourth Proportional to 690.66, 945.60 and 683.97

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Solution

The fourth proportional to 690.66, 945.60 and 683.97 is: 936.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.66 : 945.60 = 683.97 : x
  2. Step 2: Convert to fraction form
    690.66/945.60 = 683.97/x
  3. Step 3: Cross multiply
    690.66x = 945.60 × 683.97
  4. Step 4: Simplify right side
    690.66x = 646,762.03
  5. Step 5: Solve for x
    x = 646,762.03/690.66
  6. Step 6: Final answer
    x = 936.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.