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Finding the Fourth Proportional to 852.56, 1,278.20 and 467.92

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Solution

The fourth proportional to 852.56, 1,278.20 and 467.92 is: 701.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.56 : 1,278.20 = 467.92 : x
  2. Step 2: Convert to fraction form
    852.56/1,278.20 = 467.92/x
  3. Step 3: Cross multiply
    852.56x = 1,278.20 × 467.92
  4. Step 4: Simplify right side
    852.56x = 598,095.34
  5. Step 5: Solve for x
    x = 598,095.34/852.56
  6. Step 6: Final answer
    x = 701.53

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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.