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Finding the Fourth Proportional to 1,651.26, 2,476.29 and 480.95

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Solution

The fourth proportional to 1,651.26, 2,476.29 and 480.95 is: 721.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.26 : 2,476.29 = 480.95 : x
  2. Step 2: Convert to fraction form
    1,651.26/2,476.29 = 480.95/x
  3. Step 3: Cross multiply
    1,651.26x = 2,476.29 × 480.95
  4. Step 4: Simplify right side
    1,651.26x = 1,190,959.29
  5. Step 5: Solve for x
    x = 1,190,959.29/1,651.26
  6. Step 6: Final answer
    x = 721.24

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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.