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Finding the Fourth Proportional to 1,065.92, 1,469.76 and 868.82

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Solution

The fourth proportional to 1,065.92, 1,469.76 and 868.82 is: 1,197.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.92 : 1,469.76 = 868.82 : x
  2. Step 2: Convert to fraction form
    1,065.92/1,469.76 = 868.82/x
  3. Step 3: Cross multiply
    1,065.92x = 1,469.76 × 868.82
  4. Step 4: Simplify right side
    1,065.92x = 1,276,956.88
  5. Step 5: Solve for x
    x = 1,276,956.88/1,065.92
  6. Step 6: Final answer
    x = 1,197.99

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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.