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Finding the Fourth Proportional to 852.22, 1,278.72 and 636.22

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Solution

The fourth proportional to 852.22, 1,278.72 and 636.22 is: 954.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.22 : 1,278.72 = 636.22 : x
  2. Step 2: Convert to fraction form
    852.22/1,278.72 = 636.22/x
  3. Step 3: Cross multiply
    852.22x = 1,278.72 × 636.22
  4. Step 4: Simplify right side
    852.22x = 813,547.24
  5. Step 5: Solve for x
    x = 813,547.24/852.22
  6. Step 6: Final answer
    x = 954.62

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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.