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Finding the Fourth Proportional to 1,215.26, 1,676.19 and 842.41

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Solution

The fourth proportional to 1,215.26, 1,676.19 and 842.41 is: 1,161.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.26 : 1,676.19 = 842.41 : x
  2. Step 2: Convert to fraction form
    1,215.26/1,676.19 = 842.41/x
  3. Step 3: Cross multiply
    1,215.26x = 1,676.19 × 842.41
  4. Step 4: Simplify right side
    1,215.26x = 1,412,039.22
  5. Step 5: Solve for x
    x = 1,412,039.22/1,215.26
  6. Step 6: Final answer
    x = 1,161.92

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1.5x scale

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.