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Finding the Fourth Proportional to 869.35, 1,200.28 and 538.27

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Solution

The fourth proportional to 869.35, 1,200.28 and 538.27 is: 743.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.35 : 1,200.28 = 538.27 : x
  2. Step 2: Convert to fraction form
    869.35/1,200.28 = 538.27/x
  3. Step 3: Cross multiply
    869.35x = 1,200.28 × 538.27
  4. Step 4: Simplify right side
    869.35x = 646,074.72
  5. Step 5: Solve for x
    x = 646,074.72/869.35
  6. Step 6: Final answer
    x = 743.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.