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Finding the Fourth Proportional to 833.08, 1,249.44 and 285.24

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Solution

The fourth proportional to 833.08, 1,249.44 and 285.24 is: 427.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.08 : 1,249.44 = 285.24 : x
  2. Step 2: Convert to fraction form
    833.08/1,249.44 = 285.24/x
  3. Step 3: Cross multiply
    833.08x = 1,249.44 × 285.24
  4. Step 4: Simplify right side
    833.08x = 356,390.27
  5. Step 5: Solve for x
    x = 356,390.27/833.08
  6. Step 6: Final answer
    x = 427.80

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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.