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Finding the Fourth Proportional to 1,195.44, 1,793.64 and 784.56

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Solution

The fourth proportional to 1,195.44, 1,793.64 and 784.56 is: 1,177.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.44 : 1,793.64 = 784.56 : x
  2. Step 2: Convert to fraction form
    1,195.44/1,793.64 = 784.56/x
  3. Step 3: Cross multiply
    1,195.44x = 1,793.64 × 784.56
  4. Step 4: Simplify right side
    1,195.44x = 1,407,218.20
  5. Step 5: Solve for x
    x = 1,407,218.20/1,195.44
  6. Step 6: Final answer
    x = 1,177.16

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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.