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Finding the Fourth Proportional to 868.28, 1,296.08 and 753.54

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Solution

The fourth proportional to 868.28, 1,296.08 and 753.54 is: 1,124.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.28 : 1,296.08 = 753.54 : x
  2. Step 2: Convert to fraction form
    868.28/1,296.08 = 753.54/x
  3. Step 3: Cross multiply
    868.28x = 1,296.08 × 753.54
  4. Step 4: Simplify right side
    868.28x = 976,648.12
  5. Step 5: Solve for x
    x = 976,648.12/868.28
  6. Step 6: Final answer
    x = 1,124.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.