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Finding the Fourth Proportional to 687.87, 1,031.85 and 323.01

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Solution

The fourth proportional to 687.87, 1,031.85 and 323.01 is: 484.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.87 : 1,031.85 = 323.01 : x
  2. Step 2: Convert to fraction form
    687.87/1,031.85 = 323.01/x
  3. Step 3: Cross multiply
    687.87x = 1,031.85 × 323.01
  4. Step 4: Simplify right side
    687.87x = 333,297.87
  5. Step 5: Solve for x
    x = 333,297.87/687.87
  6. Step 6: Final answer
    x = 484.54

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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.