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Finding the Fourth Proportional to 1,301.22, 1,794.51 and 859.57

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Solution

The fourth proportional to 1,301.22, 1,794.51 and 859.57 is: 1,185.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.22 : 1,794.51 = 859.57 : x
  2. Step 2: Convert to fraction form
    1,301.22/1,794.51 = 859.57/x
  3. Step 3: Cross multiply
    1,301.22x = 1,794.51 × 859.57
  4. Step 4: Simplify right side
    1,301.22x = 1,542,502.47
  5. Step 5: Solve for x
    x = 1,542,502.47/1,301.22
  6. Step 6: Final answer
    x = 1,185.43

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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.