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Finding the Fourth Proportional to 883.54, 1,219.22 and 673.84

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Solution

The fourth proportional to 883.54, 1,219.22 and 673.84 is: 929.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.54 : 1,219.22 = 673.84 : x
  2. Step 2: Convert to fraction form
    883.54/1,219.22 = 673.84/x
  3. Step 3: Cross multiply
    883.54x = 1,219.22 × 673.84
  4. Step 4: Simplify right side
    883.54x = 821,559.20
  5. Step 5: Solve for x
    x = 821,559.20/883.54
  6. Step 6: Final answer
    x = 929.85

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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.