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Finding the Fourth Proportional to 852.04, 1,282.79 and 667.92

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Solution

The fourth proportional to 852.04, 1,282.79 and 667.92 is: 1,005.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.04 : 1,282.79 = 667.92 : x
  2. Step 2: Convert to fraction form
    852.04/1,282.79 = 667.92/x
  3. Step 3: Cross multiply
    852.04x = 1,282.79 × 667.92
  4. Step 4: Simplify right side
    852.04x = 856,800.21
  5. Step 5: Solve for x
    x = 856,800.21/852.04
  6. Step 6: Final answer
    x = 1,005.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.