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Finding the Fourth Proportional to 671.11, 927.84 and 589.09

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Solution

The fourth proportional to 671.11, 927.84 and 589.09 is: 814.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.11 : 927.84 = 589.09 : x
  2. Step 2: Convert to fraction form
    671.11/927.84 = 589.09/x
  3. Step 3: Cross multiply
    671.11x = 927.84 × 589.09
  4. Step 4: Simplify right side
    671.11x = 546,581.27
  5. Step 5: Solve for x
    x = 546,581.27/671.11
  6. Step 6: Final answer
    x = 814.44

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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.