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Finding the Fourth Proportional to 833.28, 1,249.68 and 443.04

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Solution

The fourth proportional to 833.28, 1,249.68 and 443.04 is: 664.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.28 : 1,249.68 = 443.04 : x
  2. Step 2: Convert to fraction form
    833.28/1,249.68 = 443.04/x
  3. Step 3: Cross multiply
    833.28x = 1,249.68 × 443.04
  4. Step 4: Simplify right side
    833.28x = 553,658.23
  5. Step 5: Solve for x
    x = 553,658.23/833.28
  6. Step 6: Final answer
    x = 664.43

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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.