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Finding the Fourth Proportional to 642.59, 884.84 and 589.97

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Solution

The fourth proportional to 642.59, 884.84 and 589.97 is: 812.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.59 : 884.84 = 589.97 : x
  2. Step 2: Convert to fraction form
    642.59/884.84 = 589.97/x
  3. Step 3: Cross multiply
    642.59x = 884.84 × 589.97
  4. Step 4: Simplify right side
    642.59x = 522,021.68
  5. Step 5: Solve for x
    x = 522,021.68/642.59
  6. Step 6: Final answer
    x = 812.38

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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.