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Finding the Fourth Proportional to 869.89, 1,200.50 and 516.10

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Solution

The fourth proportional to 869.89, 1,200.50 and 516.10 is: 712.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.89 : 1,200.50 = 516.10 : x
  2. Step 2: Convert to fraction form
    869.89/1,200.50 = 516.10/x
  3. Step 3: Cross multiply
    869.89x = 1,200.50 × 516.10
  4. Step 4: Simplify right side
    869.89x = 619,578.05
  5. Step 5: Solve for x
    x = 619,578.05/869.89
  6. Step 6: Final answer
    x = 712.25

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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.