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Finding the Fourth Proportional to 851.26, 1,276.08 and 412.24

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Solution

The fourth proportional to 851.26, 1,276.08 and 412.24 is: 617.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.26 : 1,276.08 = 412.24 : x
  2. Step 2: Convert to fraction form
    851.26/1,276.08 = 412.24/x
  3. Step 3: Cross multiply
    851.26x = 1,276.08 × 412.24
  4. Step 4: Simplify right side
    851.26x = 526,051.22
  5. Step 5: Solve for x
    x = 526,051.22/851.26
  6. Step 6: Final answer
    x = 617.97

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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.