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Finding the Fourth Proportional to 883.07, 1,224.22 and 836.26

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Solution

The fourth proportional to 883.07, 1,224.22 and 836.26 is: 1,159.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.07 : 1,224.22 = 836.26 : x
  2. Step 2: Convert to fraction form
    883.07/1,224.22 = 836.26/x
  3. Step 3: Cross multiply
    883.07x = 1,224.22 × 836.26
  4. Step 4: Simplify right side
    883.07x = 1,023,755.91
  5. Step 5: Solve for x
    x = 1,023,755.91/883.07
  6. Step 6: Final answer
    x = 1,159.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.