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Finding the Fourth Proportional to 852.63, 1,278.03 and 412.96

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Solution

The fourth proportional to 852.63, 1,278.03 and 412.96 is: 618.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.63 : 1,278.03 = 412.96 : x
  2. Step 2: Convert to fraction form
    852.63/1,278.03 = 412.96/x
  3. Step 3: Cross multiply
    852.63x = 1,278.03 × 412.96
  4. Step 4: Simplify right side
    852.63x = 527,772.07
  5. Step 5: Solve for x
    x = 527,772.07/852.63
  6. Step 6: Final answer
    x = 618.99

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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.