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Finding the Fourth Proportional to 1,794.23, 2,691.51 and 698.68

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Solution

The fourth proportional to 1,794.23, 2,691.51 and 698.68 is: 1,048.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.23 : 2,691.51 = 698.68 : x
  2. Step 2: Convert to fraction form
    1,794.23/2,691.51 = 698.68/x
  3. Step 3: Cross multiply
    1,794.23x = 2,691.51 × 698.68
  4. Step 4: Simplify right side
    1,794.23x = 1,880,504.21
  5. Step 5: Solve for x
    x = 1,880,504.21/1,794.23
  6. Step 6: Final answer
    x = 1,048.08

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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.