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Finding the Fourth Proportional to 1,504.04, 2,255.99 and 408.41

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Solution

The fourth proportional to 1,504.04, 2,255.99 and 408.41 is: 612.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.04 : 2,255.99 = 408.41 : x
  2. Step 2: Convert to fraction form
    1,504.04/2,255.99 = 408.41/x
  3. Step 3: Cross multiply
    1,504.04x = 2,255.99 × 408.41
  4. Step 4: Simplify right side
    1,504.04x = 921,364.01
  5. Step 5: Solve for x
    x = 921,364.01/1,504.04
  6. Step 6: Final answer
    x = 612.59

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Why These Related Problems?

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