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Finding the Fourth Proportional to 687.69, 949.83 and 500.88

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Solution

The fourth proportional to 687.69, 949.83 and 500.88 is: 691.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.69 : 949.83 = 500.88 : x
  2. Step 2: Convert to fraction form
    687.69/949.83 = 500.88/x
  3. Step 3: Cross multiply
    687.69x = 949.83 × 500.88
  4. Step 4: Simplify right side
    687.69x = 475,750.85
  5. Step 5: Solve for x
    x = 475,750.85/687.69
  6. Step 6: Final answer
    x = 691.81

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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.