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Finding the Fourth Proportional to 829.92, 1,244.30 and 746.87

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Solution

The fourth proportional to 829.92, 1,244.30 and 746.87 is: 1,119.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.92 : 1,244.30 = 746.87 : x
  2. Step 2: Convert to fraction form
    829.92/1,244.30 = 746.87/x
  3. Step 3: Cross multiply
    829.92x = 1,244.30 × 746.87
  4. Step 4: Simplify right side
    829.92x = 929,329.72
  5. Step 5: Solve for x
    x = 929,329.72/829.92
  6. Step 6: Final answer
    x = 1,119.78

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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.