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Finding the Fourth Proportional to 1,612.26, 2,417.54 and 516.33

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Solution

The fourth proportional to 1,612.26, 2,417.54 and 516.33 is: 774.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.26 : 2,417.54 = 516.33 : x
  2. Step 2: Convert to fraction form
    1,612.26/2,417.54 = 516.33/x
  3. Step 3: Cross multiply
    1,612.26x = 2,417.54 × 516.33
  4. Step 4: Simplify right side
    1,612.26x = 1,248,245.85
  5. Step 5: Solve for x
    x = 1,248,245.85/1,612.26
  6. Step 6: Final answer
    x = 774.22

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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.