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Finding the Fourth Proportional to 1,191.23, 1,786.78 and 313.71

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Solution

The fourth proportional to 1,191.23, 1,786.78 and 313.71 is: 470.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.23 : 1,786.78 = 313.71 : x
  2. Step 2: Convert to fraction form
    1,191.23/1,786.78 = 313.71/x
  3. Step 3: Cross multiply
    1,191.23x = 1,786.78 × 313.71
  4. Step 4: Simplify right side
    1,191.23x = 560,530.75
  5. Step 5: Solve for x
    x = 560,530.75/1,191.23
  6. Step 6: Final answer
    x = 470.55

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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.