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Finding the Fourth Proportional to 832.25, 1,249.32 and 485.84

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Solution

The fourth proportional to 832.25, 1,249.32 and 485.84 is: 729.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.25 : 1,249.32 = 485.84 : x
  2. Step 2: Convert to fraction form
    832.25/1,249.32 = 485.84/x
  3. Step 3: Cross multiply
    832.25x = 1,249.32 × 485.84
  4. Step 4: Simplify right side
    832.25x = 606,969.63
  5. Step 5: Solve for x
    x = 606,969.63/832.25
  6. Step 6: Final answer
    x = 729.31

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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.