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Finding the Fourth Proportional to 1,196.73, 1,650.99 and 864.42

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Solution

The fourth proportional to 1,196.73, 1,650.99 and 864.42 is: 1,192.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.73 : 1,650.99 = 864.42 : x
  2. Step 2: Convert to fraction form
    1,196.73/1,650.99 = 864.42/x
  3. Step 3: Cross multiply
    1,196.73x = 1,650.99 × 864.42
  4. Step 4: Simplify right side
    1,196.73x = 1,427,148.78
  5. Step 5: Solve for x
    x = 1,427,148.78/1,196.73
  6. Step 6: Final answer
    x = 1,192.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.