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Finding the Fourth Proportional to 689.83, 949.14 and 596.27

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Solution

The fourth proportional to 689.83, 949.14 and 596.27 is: 820.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.83 : 949.14 = 596.27 : x
  2. Step 2: Convert to fraction form
    689.83/949.14 = 596.27/x
  3. Step 3: Cross multiply
    689.83x = 949.14 × 596.27
  4. Step 4: Simplify right side
    689.83x = 565,943.71
  5. Step 5: Solve for x
    x = 565,943.71/689.83
  6. Step 6: Final answer
    x = 820.41

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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.