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Finding the Fourth Proportional to 830.75, 1,146.22 and 516.06

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Solution

The fourth proportional to 830.75, 1,146.22 and 516.06 is: 712.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.75 : 1,146.22 = 516.06 : x
  2. Step 2: Convert to fraction form
    830.75/1,146.22 = 516.06/x
  3. Step 3: Cross multiply
    830.75x = 1,146.22 × 516.06
  4. Step 4: Simplify right side
    830.75x = 591,517.00
  5. Step 5: Solve for x
    x = 591,517.00/830.75
  6. Step 6: Final answer
    x = 712.03

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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.