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Finding the Fourth Proportional to 811.68, 1,120.32 and 480.48

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Solution

The fourth proportional to 811.68, 1,120.32 and 480.48 is: 663.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.68 : 1,120.32 = 480.48 : x
  2. Step 2: Convert to fraction form
    811.68/1,120.32 = 480.48/x
  3. Step 3: Cross multiply
    811.68x = 1,120.32 × 480.48
  4. Step 4: Simplify right side
    811.68x = 538,291.35
  5. Step 5: Solve for x
    x = 538,291.35/811.68
  6. Step 6: Final answer
    x = 663.18

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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.