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Finding the Fourth Proportional to 782.08, 1,079.73 and 516.94

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Solution

The fourth proportional to 782.08, 1,079.73 and 516.94 is: 713.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.08 : 1,079.73 = 516.94 : x
  2. Step 2: Convert to fraction form
    782.08/1,079.73 = 516.94/x
  3. Step 3: Cross multiply
    782.08x = 1,079.73 × 516.94
  4. Step 4: Simplify right side
    782.08x = 558,155.63
  5. Step 5: Solve for x
    x = 558,155.63/782.08
  6. Step 6: Final answer
    x = 713.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.