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Finding the Fourth Proportional to 1,190.78, 1,785.96 and 324.86

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Solution

The fourth proportional to 1,190.78, 1,785.96 and 324.86 is: 487.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.78 : 1,785.96 = 324.86 : x
  2. Step 2: Convert to fraction form
    1,190.78/1,785.96 = 324.86/x
  3. Step 3: Cross multiply
    1,190.78x = 1,785.96 × 324.86
  4. Step 4: Simplify right side
    1,190.78x = 580,186.97
  5. Step 5: Solve for x
    x = 580,186.97/1,190.78
  6. Step 6: Final answer
    x = 487.23

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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.