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Finding the Fourth Proportional to 829, 1,243.80 and 366.72

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Solution

The fourth proportional to 829, 1,243.80 and 366.72 is: 550.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    829 : 1,243.80 = 366.72 : x
  2. Step 2: Convert to fraction form
    829/1,243.80 = 366.72/x
  3. Step 3: Cross multiply
    829x = 1,243.80 × 366.72
  4. Step 4: Simplify right side
    829x = 456,124.50
  5. Step 5: Solve for x
    x = 456,124.50/829
  6. Step 6: Final answer
    x = 550.21

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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.