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Finding the Fourth Proportional to 687.77, 949.09 and 393.04

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Solution

The fourth proportional to 687.77, 949.09 and 393.04 is: 542.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.77 : 949.09 = 393.04 : x
  2. Step 2: Convert to fraction form
    687.77/949.09 = 393.04/x
  3. Step 3: Cross multiply
    687.77x = 949.09 × 393.04
  4. Step 4: Simplify right side
    687.77x = 373,028.56
  5. Step 5: Solve for x
    x = 373,028.56/687.77
  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.