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Finding the Fourth Proportional to 827.12, 1,141.42 and 491.04

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Solution

The fourth proportional to 827.12, 1,141.42 and 491.04 is: 677.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.12 : 1,141.42 = 491.04 : x
  2. Step 2: Convert to fraction form
    827.12/1,141.42 = 491.04/x
  3. Step 3: Cross multiply
    827.12x = 1,141.42 × 491.04
  4. Step 4: Simplify right side
    827.12x = 560,482.88
  5. Step 5: Solve for x
    x = 560,482.88/827.12
  6. Step 6: Final answer
    x = 677.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.