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Finding the Fourth Proportional to 1,191.26, 1,786.32 and 450.86

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Solution

The fourth proportional to 1,191.26, 1,786.32 and 450.86 is: 676.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.26 : 1,786.32 = 450.86 : x
  2. Step 2: Convert to fraction form
    1,191.26/1,786.32 = 450.86/x
  3. Step 3: Cross multiply
    1,191.26x = 1,786.32 × 450.86
  4. Step 4: Simplify right side
    1,191.26x = 805,371.30
  5. Step 5: Solve for x
    x = 805,371.30/1,191.26
  6. Step 6: Final answer
    x = 676.07

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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.