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Finding the Fourth Proportional to 1,191.31, 1,786.83 and 313.90

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Solution

The fourth proportional to 1,191.31, 1,786.83 and 313.90 is: 470.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.31 : 1,786.83 = 313.90 : x
  2. Step 2: Convert to fraction form
    1,191.31/1,786.83 = 313.90/x
  3. Step 3: Cross multiply
    1,191.31x = 1,786.83 × 313.90
  4. Step 4: Simplify right side
    1,191.31x = 560,885.94
  5. Step 5: Solve for x
    x = 560,885.94/1,191.31
  6. Step 6: Final answer
    x = 470.81

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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.