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Finding the Fourth Proportional to 1,669.68, 2,504.54 and 515.44

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Solution

The fourth proportional to 1,669.68, 2,504.54 and 515.44 is: 773.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.68 : 2,504.54 = 515.44 : x
  2. Step 2: Convert to fraction form
    1,669.68/2,504.54 = 515.44/x
  3. Step 3: Cross multiply
    1,669.68x = 2,504.54 × 515.44
  4. Step 4: Simplify right side
    1,669.68x = 1,290,940.10
  5. Step 5: Solve for x
    x = 1,290,940.10/1,669.68
  6. Step 6: Final answer
    x = 773.17

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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.