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Finding the Fourth Proportional to 1,503.80, 2,255.42 and 408.24

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Solution

The fourth proportional to 1,503.80, 2,255.42 and 408.24 is: 612.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.80 : 2,255.42 = 408.24 : x
  2. Step 2: Convert to fraction form
    1,503.80/2,255.42 = 408.24/x
  3. Step 3: Cross multiply
    1,503.80x = 2,255.42 × 408.24
  4. Step 4: Simplify right side
    1,503.80x = 920,750.62
  5. Step 5: Solve for x
    x = 920,750.62/1,503.80
  6. Step 6: Final answer
    x = 612.28

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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.