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Finding the Fourth Proportional to 1,196.29, 1,650.42 and 882.31

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Solution

The fourth proportional to 1,196.29, 1,650.42 and 882.31 is: 1,217.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.29 : 1,650.42 = 882.31 : x
  2. Step 2: Convert to fraction form
    1,196.29/1,650.42 = 882.31/x
  3. Step 3: Cross multiply
    1,196.29x = 1,650.42 × 882.31
  4. Step 4: Simplify right side
    1,196.29x = 1,456,177.66
  5. Step 5: Solve for x
    x = 1,456,177.66/1,196.29
  6. Step 6: Final answer
    x = 1,217.24

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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.