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Finding the Fourth Proportional to 829.48, 1,244.22 and 342.26

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Solution

The fourth proportional to 829.48, 1,244.22 and 342.26 is: 513.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.48 : 1,244.22 = 342.26 : x
  2. Step 2: Convert to fraction form
    829.48/1,244.22 = 342.26/x
  3. Step 3: Cross multiply
    829.48x = 1,244.22 × 342.26
  4. Step 4: Simplify right side
    829.48x = 425,845.03
  5. Step 5: Solve for x
    x = 425,845.03/829.48
  6. Step 6: Final answer
    x = 513.39

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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.