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Finding the Fourth Proportional to 833.07, 1,249.47 and 285.15

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Solution

The fourth proportional to 833.07, 1,249.47 and 285.15 is: 427.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.07 : 1,249.47 = 285.15 : x
  2. Step 2: Convert to fraction form
    833.07/1,249.47 = 285.15/x
  3. Step 3: Cross multiply
    833.07x = 1,249.47 × 285.15
  4. Step 4: Simplify right side
    833.07x = 356,286.37
  5. Step 5: Solve for x
    x = 356,286.37/833.07
  6. Step 6: Final answer
    x = 427.68

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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.