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Finding the Fourth Proportional to 852.12, 1,278.45 and 636.12

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Solution

The fourth proportional to 852.12, 1,278.45 and 636.12 is: 954.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.12 : 1,278.45 = 636.12 : x
  2. Step 2: Convert to fraction form
    852.12/1,278.45 = 636.12/x
  3. Step 3: Cross multiply
    852.12x = 1,278.45 × 636.12
  4. Step 4: Simplify right side
    852.12x = 813,247.61
  5. Step 5: Solve for x
    x = 813,247.61/852.12
  6. Step 6: Final answer
    x = 954.38

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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.