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Finding the Fourth Proportional to 693.10, 955.84 and 516.50

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Solution

The fourth proportional to 693.10, 955.84 and 516.50 is: 712.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.10 : 955.84 = 516.50 : x
  2. Step 2: Convert to fraction form
    693.10/955.84 = 516.50/x
  3. Step 3: Cross multiply
    693.10x = 955.84 × 516.50
  4. Step 4: Simplify right side
    693.10x = 493,688.97
  5. Step 5: Solve for x
    x = 493,688.97/693.10
  6. Step 6: Final answer
    x = 712.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.