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Finding the Fourth Proportional to 1,503.69, 2,255.62 and 408.14

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Solution

The fourth proportional to 1,503.69, 2,255.62 and 408.14 is: 612.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.69 : 2,255.62 = 408.14 : x
  2. Step 2: Convert to fraction form
    1,503.69/2,255.62 = 408.14/x
  3. Step 3: Cross multiply
    1,503.69x = 2,255.62 × 408.14
  4. Step 4: Simplify right side
    1,503.69x = 920,608.75
  5. Step 5: Solve for x
    x = 920,608.75/1,503.69
  6. Step 6: Final answer
    x = 612.23

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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.