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Finding the Fourth Proportional to 1,195.73, 1,793.10 and 415.60

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Solution

The fourth proportional to 1,195.73, 1,793.10 and 415.60 is: 623.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.73 : 1,793.10 = 415.60 : x
  2. Step 2: Convert to fraction form
    1,195.73/1,793.10 = 415.60/x
  3. Step 3: Cross multiply
    1,195.73x = 1,793.10 × 415.60
  4. Step 4: Simplify right side
    1,195.73x = 745,209.44
  5. Step 5: Solve for x
    x = 745,209.44/1,195.73
  6. Step 6: Final answer
    x = 623.23

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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.