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Finding the Fourth Proportional to 1,196.56, 1,794.25 and 709.48

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Solution

The fourth proportional to 1,196.56, 1,794.25 and 709.48 is: 1,063.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.56 : 1,794.25 = 709.48 : x
  2. Step 2: Convert to fraction form
    1,196.56/1,794.25 = 709.48/x
  3. Step 3: Cross multiply
    1,196.56x = 1,794.25 × 709.48
  4. Step 4: Simplify right side
    1,196.56x = 1,272,984.49
  5. Step 5: Solve for x
    x = 1,272,984.49/1,196.56
  6. Step 6: Final answer
    x = 1,063.87

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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.