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Finding the Fourth Proportional to 869.23, 1,199.48 and 496.23

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Solution

The fourth proportional to 869.23, 1,199.48 and 496.23 is: 684.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.23 : 1,199.48 = 496.23 : x
  2. Step 2: Convert to fraction form
    869.23/1,199.48 = 496.23/x
  3. Step 3: Cross multiply
    869.23x = 1,199.48 × 496.23
  4. Step 4: Simplify right side
    869.23x = 595,217.96
  5. Step 5: Solve for x
    x = 595,217.96/869.23
  6. Step 6: Final answer
    x = 684.76

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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.