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Finding the Fourth Proportional to 1,191, 1,786.08 and 460.80

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Solution

The fourth proportional to 1,191, 1,786.08 and 460.80 is: 691.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191 : 1,786.08 = 460.80 : x
  2. Step 2: Convert to fraction form
    1,191/1,786.08 = 460.80/x
  3. Step 3: Cross multiply
    1,191x = 1,786.08 × 460.80
  4. Step 4: Simplify right side
    1,191x = 823,025.66
  5. Step 5: Solve for x
    x = 823,025.66/1,191
  6. Step 6: Final answer
    x = 691.04

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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.