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Finding the Fourth Proportional to 829.92, 1,244.22 and 537.72

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Solution

The fourth proportional to 829.92, 1,244.22 and 537.72 is: 806.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.92 : 1,244.22 = 537.72 : x
  2. Step 2: Convert to fraction form
    829.92/1,244.22 = 537.72/x
  3. Step 3: Cross multiply
    829.92x = 1,244.22 × 537.72
  4. Step 4: Simplify right side
    829.92x = 669,041.98
  5. Step 5: Solve for x
    x = 669,041.98/829.92
  6. Step 6: Final answer
    x = 806.15

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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.