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Finding the Fourth Proportional to 833.25, 1,249.47 and 285.42

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Solution

The fourth proportional to 833.25, 1,249.47 and 285.42 is: 427.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.25 : 1,249.47 = 285.42 : x
  2. Step 2: Convert to fraction form
    833.25/1,249.47 = 285.42/x
  3. Step 3: Cross multiply
    833.25x = 1,249.47 × 285.42
  4. Step 4: Simplify right side
    833.25x = 356,623.73
  5. Step 5: Solve for x
    x = 356,623.73/833.25
  6. Step 6: Final answer
    x = 427.99

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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.