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Finding the Fourth Proportional to 647.31, 894.21 and 516.15

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Solution

The fourth proportional to 647.31, 894.21 and 516.15 is: 713.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.31 : 894.21 = 516.15 : x
  2. Step 2: Convert to fraction form
    647.31/894.21 = 516.15/x
  3. Step 3: Cross multiply
    647.31x = 894.21 × 516.15
  4. Step 4: Simplify right side
    647.31x = 461,546.49
  5. Step 5: Solve for x
    x = 461,546.49/647.31
  6. Step 6: Final answer
    x = 713.02

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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.