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Finding the Fourth Proportional to 692, 952.08 and 516.64

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Solution

The fourth proportional to 692, 952.08 and 516.64 is: 710.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    692 : 952.08 = 516.64 : x
  2. Step 2: Convert to fraction form
    692/952.08 = 516.64/x
  3. Step 3: Cross multiply
    692x = 952.08 × 516.64
  4. Step 4: Simplify right side
    692x = 491,882.61
  5. Step 5: Solve for x
    x = 491,882.61/692
  6. Step 6: Final answer
    x = 710.81

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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.