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Finding the Fourth Proportional to 684.12, 943.14 and 516.00

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Solution

The fourth proportional to 684.12, 943.14 and 516.00 is: 711.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.12 : 943.14 = 516.00 : x
  2. Step 2: Convert to fraction form
    684.12/943.14 = 516.00/x
  3. Step 3: Cross multiply
    684.12x = 943.14 × 516.00
  4. Step 4: Simplify right side
    684.12x = 486,657.75
  5. Step 5: Solve for x
    x = 486,657.75/684.12
  6. Step 6: Final answer
    x = 711.36

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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.