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Finding the Fourth Proportional to 832.85, 1,249.41 and 285.07

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Solution

The fourth proportional to 832.85, 1,249.41 and 285.07 is: 427.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.85 : 1,249.41 = 285.07 : x
  2. Step 2: Convert to fraction form
    832.85/1,249.41 = 285.07/x
  3. Step 3: Cross multiply
    832.85x = 1,249.41 × 285.07
  4. Step 4: Simplify right side
    832.85x = 356,169.31
  5. Step 5: Solve for x
    x = 356,169.31/832.85
  6. Step 6: Final answer
    x = 427.65

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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.