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Finding the Fourth Proportional to 1,670.72, 2,506.26 and 516.56

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Solution

The fourth proportional to 1,670.72, 2,506.26 and 516.56 is: 774.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.72 : 2,506.26 = 516.56 : x
  2. Step 2: Convert to fraction form
    1,670.72/2,506.26 = 516.56/x
  3. Step 3: Cross multiply
    1,670.72x = 2,506.26 × 516.56
  4. Step 4: Simplify right side
    1,670.72x = 1,294,633.67
  5. Step 5: Solve for x
    x = 1,294,633.67/1,670.72
  6. Step 6: Final answer
    x = 774.90

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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.