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Finding the Fourth Proportional to 687.70, 949.11 and 392.99

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Solution

The fourth proportional to 687.70, 949.11 and 392.99 is: 542.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.70 : 949.11 = 392.99 : x
  2. Step 2: Convert to fraction form
    687.70/949.11 = 392.99/x
  3. Step 3: Cross multiply
    687.70x = 949.11 × 392.99
  4. Step 4: Simplify right side
    687.70x = 372,990.74
  5. Step 5: Solve for x
    x = 372,990.74/687.70
  6. Step 6: Final answer
    x = 542.37

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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.