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Finding the Fourth Proportional to 1,196.44, 1,793.41 and 503.48

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Solution

The fourth proportional to 1,196.44, 1,793.41 and 503.48 is: 754.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.44 : 1,793.41 = 503.48 : x
  2. Step 2: Convert to fraction form
    1,196.44/1,793.41 = 503.48/x
  3. Step 3: Cross multiply
    1,196.44x = 1,793.41 × 503.48
  4. Step 4: Simplify right side
    1,196.44x = 902,949.29
  5. Step 5: Solve for x
    x = 902,949.29/1,196.44
  6. Step 6: Final answer
    x = 754.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.