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Finding the Fourth Proportional to 1,504.07, 2,256.22 and 408.38

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Solution

The fourth proportional to 1,504.07, 2,256.22 and 408.38 is: 612.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.07 : 2,256.22 = 408.38 : x
  2. Step 2: Convert to fraction form
    1,504.07/2,256.22 = 408.38/x
  3. Step 3: Cross multiply
    1,504.07x = 2,256.22 × 408.38
  4. Step 4: Simplify right side
    1,504.07x = 921,384.35
  5. Step 5: Solve for x
    x = 921,384.35/1,504.07
  6. Step 6: Final answer
    x = 612.59

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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.