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Finding the Fourth Proportional to 1,219.34, 1,825.41 and 755.62

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Solution

The fourth proportional to 1,219.34, 1,825.41 and 755.62 is: 1,131.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.34 : 1,825.41 = 755.62 : x
  2. Step 2: Convert to fraction form
    1,219.34/1,825.41 = 755.62/x
  3. Step 3: Cross multiply
    1,219.34x = 1,825.41 × 755.62
  4. Step 4: Simplify right side
    1,219.34x = 1,379,316.30
  5. Step 5: Solve for x
    x = 1,379,316.30/1,219.34
  6. Step 6: Final answer
    x = 1,131.20

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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.