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Finding the Fourth Proportional to 827.22, 1,141.59 and 491.29

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Solution

The fourth proportional to 827.22, 1,141.59 and 491.29 is: 678.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.22 : 1,141.59 = 491.29 : x
  2. Step 2: Convert to fraction form
    827.22/1,141.59 = 491.29/x
  3. Step 3: Cross multiply
    827.22x = 1,141.59 × 491.29
  4. Step 4: Simplify right side
    827.22x = 560,853.02
  5. Step 5: Solve for x
    x = 560,853.02/827.22
  6. Step 6: Final answer
    x = 678.00

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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.