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Finding the Fourth Proportional to 852.05, 1,278.08 and 469.73

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Solution

The fourth proportional to 852.05, 1,278.08 and 469.73 is: 704.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.05 : 1,278.08 = 469.73 : x
  2. Step 2: Convert to fraction form
    852.05/1,278.08 = 469.73/x
  3. Step 3: Cross multiply
    852.05x = 1,278.08 × 469.73
  4. Step 4: Simplify right side
    852.05x = 600,350.17
  5. Step 5: Solve for x
    x = 600,350.17/852.05
  6. Step 6: Final answer
    x = 704.60

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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.