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Finding the Fourth Proportional to 852.20, 1,278.78 and 709.64

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Solution

The fourth proportional to 852.20, 1,278.78 and 709.64 is: 1,064.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.20 : 1,278.78 = 709.64 : x
  2. Step 2: Convert to fraction form
    852.20/1,278.78 = 709.64/x
  3. Step 3: Cross multiply
    852.20x = 1,278.78 × 709.64
  4. Step 4: Simplify right side
    852.20x = 907,473.44
  5. Step 5: Solve for x
    x = 907,473.44/852.20
  6. Step 6: Final answer
    x = 1,064.86

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Why These Related Problems?

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