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Finding the Fourth Proportional to 829, 1,243.52 and 335.45

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Solution

The fourth proportional to 829, 1,243.52 and 335.45 is: 503.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    829 : 1,243.52 = 335.45 : x
  2. Step 2: Convert to fraction form
    829/1,243.52 = 335.45/x
  3. Step 3: Cross multiply
    829x = 1,243.52 × 335.45
  4. Step 4: Simplify right side
    829x = 417,138.78
  5. Step 5: Solve for x
    x = 417,138.78/829
  6. Step 6: Final answer
    x = 503.18

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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.