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Finding the Fourth Proportional to 687.72, 1,031.80 and 395.54

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Solution

The fourth proportional to 687.72, 1,031.80 and 395.54 is: 593.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.72 : 1,031.80 = 395.54 : x
  2. Step 2: Convert to fraction form
    687.72/1,031.80 = 395.54/x
  3. Step 3: Cross multiply
    687.72x = 1,031.80 × 395.54
  4. Step 4: Simplify right side
    687.72x = 408,118.17
  5. Step 5: Solve for x
    x = 408,118.17/687.72
  6. Step 6: Final answer
    x = 593.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.