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Finding the Fourth Proportional to 1,196.49, 1,650.71 and 882.51

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Solution

The fourth proportional to 1,196.49, 1,650.71 and 882.51 is: 1,217.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.49 : 1,650.71 = 882.51 : x
  2. Step 2: Convert to fraction form
    1,196.49/1,650.71 = 882.51/x
  3. Step 3: Cross multiply
    1,196.49x = 1,650.71 × 882.51
  4. Step 4: Simplify right side
    1,196.49x = 1,456,773.38
  5. Step 5: Solve for x
    x = 1,456,773.38/1,196.49
  6. Step 6: Final answer
    x = 1,217.54

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Why These Related Problems?

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