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Finding the Fourth Proportional to 1,191.43, 1,784.05 and 822.38

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Solution

The fourth proportional to 1,191.43, 1,784.05 and 822.38 is: 1,231.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.43 : 1,784.05 = 822.38 : x
  2. Step 2: Convert to fraction form
    1,191.43/1,784.05 = 822.38/x
  3. Step 3: Cross multiply
    1,191.43x = 1,784.05 × 822.38
  4. Step 4: Simplify right side
    1,191.43x = 1,467,158.12
  5. Step 5: Solve for x
    x = 1,467,158.12/1,191.43
  6. Step 6: Final answer
    x = 1,231.43

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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.