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Finding the Fourth Proportional to 1,213.26, 1,820.16 and 693.48

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Solution

The fourth proportional to 1,213.26, 1,820.16 and 693.48 is: 1,040.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.26 : 1,820.16 = 693.48 : x
  2. Step 2: Convert to fraction form
    1,213.26/1,820.16 = 693.48/x
  3. Step 3: Cross multiply
    1,213.26x = 1,820.16 × 693.48
  4. Step 4: Simplify right side
    1,213.26x = 1,262,244.56
  5. Step 5: Solve for x
    x = 1,262,244.56/1,213.26
  6. Step 6: Final answer
    x = 1,040.37

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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.