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Finding the Fourth Proportional to 823.61, 1,233.59 and 681.27

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Solution

The fourth proportional to 823.61, 1,233.59 and 681.27 is: 1,020.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.61 : 1,233.59 = 681.27 : x
  2. Step 2: Convert to fraction form
    823.61/1,233.59 = 681.27/x
  3. Step 3: Cross multiply
    823.61x = 1,233.59 × 681.27
  4. Step 4: Simplify right side
    823.61x = 840,404.45
  5. Step 5: Solve for x
    x = 840,404.45/823.61
  6. Step 6: Final answer
    x = 1,020.40

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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.