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Finding the Fourth Proportional to 829.37, 1,244.09 and 342.46

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Solution

The fourth proportional to 829.37, 1,244.09 and 342.46 is: 513.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.37 : 1,244.09 = 342.46 : x
  2. Step 2: Convert to fraction form
    829.37/1,244.09 = 342.46/x
  3. Step 3: Cross multiply
    829.37x = 1,244.09 × 342.46
  4. Step 4: Simplify right side
    829.37x = 426,046.24
  5. Step 5: Solve for x
    x = 426,046.24/829.37
  6. Step 6: Final answer
    x = 513.70

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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.