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Finding the Fourth Proportional to 869.27, 1,199.79 and 538.02

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Solution

The fourth proportional to 869.27, 1,199.79 and 538.02 is: 742.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.27 : 1,199.79 = 538.02 : x
  2. Step 2: Convert to fraction form
    869.27/1,199.79 = 538.02/x
  3. Step 3: Cross multiply
    869.27x = 1,199.79 × 538.02
  4. Step 4: Simplify right side
    869.27x = 645,511.02
  5. Step 5: Solve for x
    x = 645,511.02/869.27
  6. Step 6: Final answer
    x = 742.59

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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.