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Finding the Fourth Proportional to 702.41, 968.90 and 516.38

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Solution

The fourth proportional to 702.41, 968.90 and 516.38 is: 712.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.41 : 968.90 = 516.38 : x
  2. Step 2: Convert to fraction form
    702.41/968.90 = 516.38/x
  3. Step 3: Cross multiply
    702.41x = 968.90 × 516.38
  4. Step 4: Simplify right side
    702.41x = 500,313.16
  5. Step 5: Solve for x
    x = 500,313.16/702.41
  6. Step 6: Final answer
    x = 712.29

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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.