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Finding the Fourth Proportional to 852.08, 1,278.52 and 419.12

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Solution

The fourth proportional to 852.08, 1,278.52 and 419.12 is: 628.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.08 : 1,278.52 = 419.12 : x
  2. Step 2: Convert to fraction form
    852.08/1,278.52 = 419.12/x
  3. Step 3: Cross multiply
    852.08x = 1,278.52 × 419.12
  4. Step 4: Simplify right side
    852.08x = 535,853.30
  5. Step 5: Solve for x
    x = 535,853.30/852.08
  6. Step 6: Final answer
    x = 628.88

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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.