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Finding the Fourth Proportional to 1,195.44, 1,793.85 and 502.05

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Solution

The fourth proportional to 1,195.44, 1,793.85 and 502.05 is: 753.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.44 : 1,793.85 = 502.05 : x
  2. Step 2: Convert to fraction form
    1,195.44/1,793.85 = 502.05/x
  3. Step 3: Cross multiply
    1,195.44x = 1,793.85 × 502.05
  4. Step 4: Simplify right side
    1,195.44x = 900,601.14
  5. Step 5: Solve for x
    x = 900,601.14/1,195.44
  6. Step 6: Final answer
    x = 753.37

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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.