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Finding the Fourth Proportional to 1,296.86, 1,946.12 and 516.74

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Solution

The fourth proportional to 1,296.86, 1,946.12 and 516.74 is: 775.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.86 : 1,946.12 = 516.74 : x
  2. Step 2: Convert to fraction form
    1,296.86/1,946.12 = 516.74/x
  3. Step 3: Cross multiply
    1,296.86x = 1,946.12 × 516.74
  4. Step 4: Simplify right side
    1,296.86x = 1,005,625.73
  5. Step 5: Solve for x
    x = 1,005,625.73/1,296.86
  6. Step 6: Final answer
    x = 775.43

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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.