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Finding the Fourth Proportional to 811.97, 1,120.32 and 480.26

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Solution

The fourth proportional to 811.97, 1,120.32 and 480.26 is: 662.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.97 : 1,120.32 = 480.26 : x
  2. Step 2: Convert to fraction form
    811.97/1,120.32 = 480.26/x
  3. Step 3: Cross multiply
    811.97x = 1,120.32 × 480.26
  4. Step 4: Simplify right side
    811.97x = 538,044.88
  5. Step 5: Solve for x
    x = 538,044.88/811.97
  6. Step 6: Final answer
    x = 662.64

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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.