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Finding the Fourth Proportional to 852.16, 1,278.60 and 775.24

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Solution

The fourth proportional to 852.16, 1,278.60 and 775.24 is: 1,163.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.16 : 1,278.60 = 775.24 : x
  2. Step 2: Convert to fraction form
    852.16/1,278.60 = 775.24/x
  3. Step 3: Cross multiply
    852.16x = 1,278.60 × 775.24
  4. Step 4: Simplify right side
    852.16x = 991,221.86
  5. Step 5: Solve for x
    x = 991,221.86/852.16
  6. Step 6: Final answer
    x = 1,163.19

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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.