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Finding the Fourth Proportional to 687.94, 949.37 and 377.44

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Solution

The fourth proportional to 687.94, 949.37 and 377.44 is: 520.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.94 : 949.37 = 377.44 : x
  2. Step 2: Convert to fraction form
    687.94/949.37 = 377.44/x
  3. Step 3: Cross multiply
    687.94x = 949.37 × 377.44
  4. Step 4: Simplify right side
    687.94x = 358,325.95
  5. Step 5: Solve for x
    x = 358,325.95/687.94
  6. Step 6: Final answer
    x = 520.87

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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.