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Finding the Fourth Proportional to 785.33, 1,084.94 and 516.79

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Solution

The fourth proportional to 785.33, 1,084.94 and 516.79 is: 713.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.33 : 1,084.94 = 516.79 : x
  2. Step 2: Convert to fraction form
    785.33/1,084.94 = 516.79/x
  3. Step 3: Cross multiply
    785.33x = 1,084.94 × 516.79
  4. Step 4: Simplify right side
    785.33x = 560,686.14
  5. Step 5: Solve for x
    x = 560,686.14/785.33
  6. Step 6: Final answer
    x = 713.95

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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.