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Finding the Fourth Proportional to 829.98, 1,244.88 and 343.26

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Solution

The fourth proportional to 829.98, 1,244.88 and 343.26 is: 514.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.98 : 1,244.88 = 343.26 : x
  2. Step 2: Convert to fraction form
    829.98/1,244.88 = 343.26/x
  3. Step 3: Cross multiply
    829.98x = 1,244.88 × 343.26
  4. Step 4: Simplify right side
    829.98x = 427,317.51
  5. Step 5: Solve for x
    x = 427,317.51/829.98
  6. Step 6: Final answer
    x = 514.85

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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.