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Finding the Fourth Proportional to 687.70, 1,031.01 and 255.16

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Solution

The fourth proportional to 687.70, 1,031.01 and 255.16 is: 382.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.70 : 1,031.01 = 255.16 : x
  2. Step 2: Convert to fraction form
    687.70/1,031.01 = 255.16/x
  3. Step 3: Cross multiply
    687.70x = 1,031.01 × 255.16
  4. Step 4: Simplify right side
    687.70x = 263,072.51
  5. Step 5: Solve for x
    x = 263,072.51/687.70
  6. Step 6: Final answer
    x = 382.54

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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.