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Finding the Fourth Proportional to 869.03, 1,198.77 and 514.60

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Solution

The fourth proportional to 869.03, 1,198.77 and 514.60 is: 709.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.03 : 1,198.77 = 514.60 : x
  2. Step 2: Convert to fraction form
    869.03/1,198.77 = 514.60/x
  3. Step 3: Cross multiply
    869.03x = 1,198.77 × 514.60
  4. Step 4: Simplify right side
    869.03x = 616,888.54
  5. Step 5: Solve for x
    x = 616,888.54/869.03
  6. Step 6: Final answer
    x = 709.86

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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.