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Finding the Fourth Proportional to 1,794.41, 2,691.07 and 698.51

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Solution

The fourth proportional to 1,794.41, 2,691.07 and 698.51 is: 1,047.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.41 : 2,691.07 = 698.51 : x
  2. Step 2: Convert to fraction form
    1,794.41/2,691.07 = 698.51/x
  3. Step 3: Cross multiply
    1,794.41x = 2,691.07 × 698.51
  4. Step 4: Simplify right side
    1,794.41x = 1,879,722.36
  5. Step 5: Solve for x
    x = 1,879,722.36/1,794.41
  6. Step 6: Final answer
    x = 1,047.55

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1.5x scale

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.