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Finding the Fourth Proportional to 852.36, 1,276.80 and 412.92

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Solution

The fourth proportional to 852.36, 1,276.80 and 412.92 is: 618.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.36 : 1,276.80 = 412.92 : x
  2. Step 2: Convert to fraction form
    852.36/1,276.80 = 412.92/x
  3. Step 3: Cross multiply
    852.36x = 1,276.80 × 412.92
  4. Step 4: Simplify right side
    852.36x = 527,216.26
  5. Step 5: Solve for x
    x = 527,216.26/852.36
  6. Step 6: Final answer
    x = 618.54

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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.