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Finding the Fourth Proportional to 869.63, 1,200.05 and 496.59

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Solution

The fourth proportional to 869.63, 1,200.05 and 496.59 is: 685.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.63 : 1,200.05 = 496.59 : x
  2. Step 2: Convert to fraction form
    869.63/1,200.05 = 496.59/x
  3. Step 3: Cross multiply
    869.63x = 1,200.05 × 496.59
  4. Step 4: Simplify right side
    869.63x = 595,930.35
  5. Step 5: Solve for x
    x = 595,930.35/869.63
  6. Step 6: Final answer
    x = 685.27

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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.