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Finding the Fourth Proportional to 833.84, 1,249.82 and 422.11

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Solution

The fourth proportional to 833.84, 1,249.82 and 422.11 is: 632.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.84 : 1,249.82 = 422.11 : x
  2. Step 2: Convert to fraction form
    833.84/1,249.82 = 422.11/x
  3. Step 3: Cross multiply
    833.84x = 1,249.82 × 422.11
  4. Step 4: Simplify right side
    833.84x = 527,558.01
  5. Step 5: Solve for x
    x = 527,558.01/833.84
  6. Step 6: Final answer
    x = 632.68

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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.