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Finding the Fourth Proportional to 687.92, 949.49 and 425.78

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Solution

The fourth proportional to 687.92, 949.49 and 425.78 is: 587.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.92 : 949.49 = 425.78 : x
  2. Step 2: Convert to fraction form
    687.92/949.49 = 425.78/x
  3. Step 3: Cross multiply
    687.92x = 949.49 × 425.78
  4. Step 4: Simplify right side
    687.92x = 404,266.98
  5. Step 5: Solve for x
    x = 404,266.98/687.92
  6. Step 6: Final answer
    x = 587.67

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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.