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Finding the Fourth Proportional to 833.06, 1,249.32 and 285.23

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Solution

The fourth proportional to 833.06, 1,249.32 and 285.23 is: 427.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.06 : 1,249.32 = 285.23 : x
  2. Step 2: Convert to fraction form
    833.06/1,249.32 = 285.23/x
  3. Step 3: Cross multiply
    833.06x = 1,249.32 × 285.23
  4. Step 4: Simplify right side
    833.06x = 356,343.54
  5. Step 5: Solve for x
    x = 356,343.54/833.06
  6. Step 6: Final answer
    x = 427.75

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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.