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Finding the Fourth Proportional to 608.49, 912.78 and 516.87

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Solution

The fourth proportional to 608.49, 912.78 and 516.87 is: 775.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.49 : 912.78 = 516.87 : x
  2. Step 2: Convert to fraction form
    608.49/912.78 = 516.87/x
  3. Step 3: Cross multiply
    608.49x = 912.78 × 516.87
  4. Step 4: Simplify right side
    608.49x = 471,788.60
  5. Step 5: Solve for x
    x = 471,788.60/608.49
  6. Step 6: Final answer
    x = 775.34

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Why These Related Problems?

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