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Finding the Fourth Proportional to 683.82, 938.90 and 666

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Solution

The fourth proportional to 683.82, 938.90 and 666 is: 914.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.82 : 938.90 = 666 : x
  2. Step 2: Convert to fraction form
    683.82/938.90 = 666/x
  3. Step 3: Cross multiply
    683.82x = 938.90 × 666
  4. Step 4: Simplify right side
    683.82x = 625,307.40
  5. Step 5: Solve for x
    x = 625,307.40/683.82
  6. Step 6: Final answer
    x = 914.43

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