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Finding the Fourth Proportional to 833.38, 1,248.09 and 804.22

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Solution

The fourth proportional to 833.38, 1,248.09 and 804.22 is: 1,204.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.38 : 1,248.09 = 804.22 : x
  2. Step 2: Convert to fraction form
    833.38/1,248.09 = 804.22/x
  3. Step 3: Cross multiply
    833.38x = 1,248.09 × 804.22
  4. Step 4: Simplify right side
    833.38x = 1,003,738.94
  5. Step 5: Solve for x
    x = 1,003,738.94/833.38
  6. Step 6: Final answer
    x = 1,204.42

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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.