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Finding the Fourth Proportional to 869.56, 1,199.97 and 496.54

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Solution

The fourth proportional to 869.56, 1,199.97 and 496.54 is: 685.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.56 : 1,199.97 = 496.54 : x
  2. Step 2: Convert to fraction form
    869.56/1,199.97 = 496.54/x
  3. Step 3: Cross multiply
    869.56x = 1,199.97 × 496.54
  4. Step 4: Simplify right side
    869.56x = 595,830.10
  5. Step 5: Solve for x
    x = 595,830.10/869.56
  6. Step 6: Final answer
    x = 685.21

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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.