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Finding the Fourth Proportional to 1,189.07, 1,783.70 and 311.57

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Solution

The fourth proportional to 1,189.07, 1,783.70 and 311.57 is: 467.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.07 : 1,783.70 = 311.57 : x
  2. Step 2: Convert to fraction form
    1,189.07/1,783.70 = 311.57/x
  3. Step 3: Cross multiply
    1,189.07x = 1,783.70 × 311.57
  4. Step 4: Simplify right side
    1,189.07x = 555,736.93
  5. Step 5: Solve for x
    x = 555,736.93/1,189.07
  6. Step 6: Final answer
    x = 467.37

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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.