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Finding the Fourth Proportional to 904.98, 1,249.22 and 683.84

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Solution

The fourth proportional to 904.98, 1,249.22 and 683.84 is: 943.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.98 : 1,249.22 = 683.84 : x
  2. Step 2: Convert to fraction form
    904.98/1,249.22 = 683.84/x
  3. Step 3: Cross multiply
    904.98x = 1,249.22 × 683.84
  4. Step 4: Simplify right side
    904.98x = 854,266.60
  5. Step 5: Solve for x
    x = 854,266.60/904.98
  6. Step 6: Final answer
    x = 943.96

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