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Finding the Fourth Proportional to 1,213.78, 1,820.93 and 694.03

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Solution

The fourth proportional to 1,213.78, 1,820.93 and 694.03 is: 1,041.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.78 : 1,820.93 = 694.03 : x
  2. Step 2: Convert to fraction form
    1,213.78/1,820.93 = 694.03/x
  3. Step 3: Cross multiply
    1,213.78x = 1,820.93 × 694.03
  4. Step 4: Simplify right side
    1,213.78x = 1,263,780.05
  5. Step 5: Solve for x
    x = 1,263,780.05/1,213.78
  6. Step 6: Final answer
    x = 1,041.19

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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.