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Finding the Fourth Proportional to 1,196.98, 1,797.36 and 712.20

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Solution

The fourth proportional to 1,196.98, 1,797.36 and 712.20 is: 1,069.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.98 : 1,797.36 = 712.20 : x
  2. Step 2: Convert to fraction form
    1,196.98/1,797.36 = 712.20/x
  3. Step 3: Cross multiply
    1,196.98x = 1,797.36 × 712.20
  4. Step 4: Simplify right side
    1,196.98x = 1,280,079.79
  5. Step 5: Solve for x
    x = 1,280,079.79/1,196.98
  6. Step 6: Final answer
    x = 1,069.42

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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.