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Finding the Fourth Proportional to 852.68, 1,278.92 and 275.56

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Solution

The fourth proportional to 852.68, 1,278.92 and 275.56 is: 413.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.68 : 1,278.92 = 275.56 : x
  2. Step 2: Convert to fraction form
    852.68/1,278.92 = 275.56/x
  3. Step 3: Cross multiply
    852.68x = 1,278.92 × 275.56
  4. Step 4: Simplify right side
    852.68x = 352,419.20
  5. Step 5: Solve for x
    x = 352,419.20/852.68
  6. Step 6: Final answer
    x = 413.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.