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Finding the Fourth Proportional to 827.32, 1,241.58 and 584.08

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Solution

The fourth proportional to 827.32, 1,241.58 and 584.08 is: 876.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.32 : 1,241.58 = 584.08 : x
  2. Step 2: Convert to fraction form
    827.32/1,241.58 = 584.08/x
  3. Step 3: Cross multiply
    827.32x = 1,241.58 × 584.08
  4. Step 4: Simplify right side
    827.32x = 725,182.05
  5. Step 5: Solve for x
    x = 725,182.05/827.32
  6. Step 6: Final answer
    x = 876.54

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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.