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Finding the Fourth Proportional to 868.49, 1,197.28 and 536.73

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Solution

The fourth proportional to 868.49, 1,197.28 and 536.73 is: 739.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.49 : 1,197.28 = 536.73 : x
  2. Step 2: Convert to fraction form
    868.49/1,197.28 = 536.73/x
  3. Step 3: Cross multiply
    868.49x = 1,197.28 × 536.73
  4. Step 4: Simplify right side
    868.49x = 642,608.77
  5. Step 5: Solve for x
    x = 642,608.77/868.49
  6. Step 6: Final answer
    x = 739.92

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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.