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Finding the Fourth Proportional to 852.22, 1,276.27 and 577.48

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Solution

The fourth proportional to 852.22, 1,276.27 and 577.48 is: 864.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.22 : 1,276.27 = 577.48 : x
  2. Step 2: Convert to fraction form
    852.22/1,276.27 = 577.48/x
  3. Step 3: Cross multiply
    852.22x = 1,276.27 × 577.48
  4. Step 4: Simplify right side
    852.22x = 737,016.62
  5. Step 5: Solve for x
    x = 737,016.62/852.22
  6. Step 6: Final answer
    x = 864.82

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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.