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Finding the Fourth Proportional to 880.19, 1,214.65 and 481.85

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Solution

The fourth proportional to 880.19, 1,214.65 and 481.85 is: 664.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.19 : 1,214.65 = 481.85 : x
  2. Step 2: Convert to fraction form
    880.19/1,214.65 = 481.85/x
  3. Step 3: Cross multiply
    880.19x = 1,214.65 × 481.85
  4. Step 4: Simplify right side
    880.19x = 585,273.03
  5. Step 5: Solve for x
    x = 585,273.03/880.19
  6. Step 6: Final answer
    x = 664.94

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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.