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Finding the Fourth Proportional to 828.57, 1,243.08 and 737.90

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Solution

The fourth proportional to 828.57, 1,243.08 and 737.90 is: 1,107.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.57 : 1,243.08 = 737.90 : x
  2. Step 2: Convert to fraction form
    828.57/1,243.08 = 737.90/x
  3. Step 3: Cross multiply
    828.57x = 1,243.08 × 737.90
  4. Step 4: Simplify right side
    828.57x = 917,262.52
  5. Step 5: Solve for x
    x = 917,262.52/828.57
  6. Step 6: Final answer
    x = 1,107.04

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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.