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Finding the Fourth Proportional to 730.41, 1,095.61 and 516.57

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Solution

The fourth proportional to 730.41, 1,095.61 and 516.57 is: 774.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.41 : 1,095.61 = 516.57 : x
  2. Step 2: Convert to fraction form
    730.41/1,095.61 = 516.57/x
  3. Step 3: Cross multiply
    730.41x = 1,095.61 × 516.57
  4. Step 4: Simplify right side
    730.41x = 565,959.26
  5. Step 5: Solve for x
    x = 565,959.26/730.41
  6. Step 6: Final answer
    x = 774.85

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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.