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Finding the Fourth Proportional to 827.58, 1,241.37 and 341.04

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Solution

The fourth proportional to 827.58, 1,241.37 and 341.04 is: 511.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.58 : 1,241.37 = 341.04 : x
  2. Step 2: Convert to fraction form
    827.58/1,241.37 = 341.04/x
  3. Step 3: Cross multiply
    827.58x = 1,241.37 × 341.04
  4. Step 4: Simplify right side
    827.58x = 423,356.82
  5. Step 5: Solve for x
    x = 423,356.82/827.58
  6. Step 6: Final answer
    x = 511.56

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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.