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Finding the Fourth Proportional to 868.01, 1,196.61 and 536.27

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Solution

The fourth proportional to 868.01, 1,196.61 and 536.27 is: 739.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.01 : 1,196.61 = 536.27 : x
  2. Step 2: Convert to fraction form
    868.01/1,196.61 = 536.27/x
  3. Step 3: Cross multiply
    868.01x = 1,196.61 × 536.27
  4. Step 4: Simplify right side
    868.01x = 641,706.04
  5. Step 5: Solve for x
    x = 641,706.04/868.01
  6. Step 6: Final answer
    x = 739.28

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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.