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Finding the Fourth Proportional to 1,219.23, 1,682.78 and 798.84

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Solution

The fourth proportional to 1,219.23, 1,682.78 and 798.84 is: 1,102.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.23 : 1,682.78 = 798.84 : x
  2. Step 2: Convert to fraction form
    1,219.23/1,682.78 = 798.84/x
  3. Step 3: Cross multiply
    1,219.23x = 1,682.78 × 798.84
  4. Step 4: Simplify right side
    1,219.23x = 1,344,267.98
  5. Step 5: Solve for x
    x = 1,344,267.98/1,219.23
  6. Step 6: Final answer
    x = 1,102.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.