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Finding the Fourth Proportional to 941.46, 1,299.19 and 516.08

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Solution

The fourth proportional to 941.46, 1,299.19 and 516.08 is: 712.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.46 : 1,299.19 = 516.08 : x
  2. Step 2: Convert to fraction form
    941.46/1,299.19 = 516.08/x
  3. Step 3: Cross multiply
    941.46x = 1,299.19 × 516.08
  4. Step 4: Simplify right side
    941.46x = 670,485.98
  5. Step 5: Solve for x
    x = 670,485.98/941.46
  6. Step 6: Final answer
    x = 712.18

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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.