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Finding the Fourth Proportional to 869.73, 1,200.78 and 538.35

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Solution

The fourth proportional to 869.73, 1,200.78 and 538.35 is: 743.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.73 : 1,200.78 = 538.35 : x
  2. Step 2: Convert to fraction form
    869.73/1,200.78 = 538.35/x
  3. Step 3: Cross multiply
    869.73x = 1,200.78 × 538.35
  4. Step 4: Simplify right side
    869.73x = 646,439.91
  5. Step 5: Solve for x
    x = 646,439.91/869.73
  6. Step 6: Final answer
    x = 743.27

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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.