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Finding the Fourth Proportional to 1,194.59, 1,790.87 and 453.79

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Solution

The fourth proportional to 1,194.59, 1,790.87 and 453.79 is: 680.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.59 : 1,790.87 = 453.79 : x
  2. Step 2: Convert to fraction form
    1,194.59/1,790.87 = 453.79/x
  3. Step 3: Cross multiply
    1,194.59x = 1,790.87 × 453.79
  4. Step 4: Simplify right side
    1,194.59x = 812,672.15
  5. Step 5: Solve for x
    x = 812,672.15/1,194.59
  6. Step 6: Final answer
    x = 680.29

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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.