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Finding the Fourth Proportional to 1,634.76, 2,452.18 and 480.60

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Solution

The fourth proportional to 1,634.76, 2,452.18 and 480.60 is: 720.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.76 : 2,452.18 = 480.60 : x
  2. Step 2: Convert to fraction form
    1,634.76/2,452.18 = 480.60/x
  3. Step 3: Cross multiply
    1,634.76x = 2,452.18 × 480.60
  4. Step 4: Simplify right side
    1,634.76x = 1,178,517.71
  5. Step 5: Solve for x
    x = 1,178,517.71/1,634.76
  6. Step 6: Final answer
    x = 720.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.