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Finding the Fourth Proportional to 829.39, 1,244.09 and 342.48

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Solution

The fourth proportional to 829.39, 1,244.09 and 342.48 is: 513.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.39 : 1,244.09 = 342.48 : x
  2. Step 2: Convert to fraction form
    829.39/1,244.09 = 342.48/x
  3. Step 3: Cross multiply
    829.39x = 1,244.09 × 342.48
  4. Step 4: Simplify right side
    829.39x = 426,075.94
  5. Step 5: Solve for x
    x = 426,075.94/829.39
  6. Step 6: Final answer
    x = 513.72

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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.