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Finding the Fourth Proportional to 1,229.23, 1,844.57 and 882.19

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Solution

The fourth proportional to 1,229.23, 1,844.57 and 882.19 is: 1,323.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.23 : 1,844.57 = 882.19 : x
  2. Step 2: Convert to fraction form
    1,229.23/1,844.57 = 882.19/x
  3. Step 3: Cross multiply
    1,229.23x = 1,844.57 × 882.19
  4. Step 4: Simplify right side
    1,229.23x = 1,627,256.80
  5. Step 5: Solve for x
    x = 1,627,256.80/1,229.23
  6. Step 6: Final answer
    x = 1,323.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.