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Finding the Fourth Proportional to 827.04, 1,241.22 and 437.48

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Solution

The fourth proportional to 827.04, 1,241.22 and 437.48 is: 656.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.04 : 1,241.22 = 437.48 : x
  2. Step 2: Convert to fraction form
    827.04/1,241.22 = 437.48/x
  3. Step 3: Cross multiply
    827.04x = 1,241.22 × 437.48
  4. Step 4: Simplify right side
    827.04x = 543,008.93
  5. Step 5: Solve for x
    x = 543,008.93/827.04
  6. Step 6: Final answer
    x = 656.57

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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.