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Finding the Fourth Proportional to 820.71, 1,231.89 and 589.86

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Solution

The fourth proportional to 820.71, 1,231.89 and 589.86 is: 885.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.71 : 1,231.89 = 589.86 : x
  2. Step 2: Convert to fraction form
    820.71/1,231.89 = 589.86/x
  3. Step 3: Cross multiply
    820.71x = 1,231.89 × 589.86
  4. Step 4: Simplify right side
    820.71x = 726,642.64
  5. Step 5: Solve for x
    x = 726,642.64/820.71
  6. Step 6: Final answer
    x = 885.38

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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.