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Finding the Fourth Proportional to 693.59, 956.51 and 516.99

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Solution

The fourth proportional to 693.59, 956.51 and 516.99 is: 712.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.59 : 956.51 = 516.99 : x
  2. Step 2: Convert to fraction form
    693.59/956.51 = 516.99/x
  3. Step 3: Cross multiply
    693.59x = 956.51 × 516.99
  4. Step 4: Simplify right side
    693.59x = 494,506.10
  5. Step 5: Solve for x
    x = 494,506.10/693.59
  6. Step 6: Final answer
    x = 712.97

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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.