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Finding the Fourth Proportional to 850.79, 1,276.37 and 412.35

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Solution

The fourth proportional to 850.79, 1,276.37 and 412.35 is: 618.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.79 : 1,276.37 = 412.35 : x
  2. Step 2: Convert to fraction form
    850.79/1,276.37 = 412.35/x
  3. Step 3: Cross multiply
    850.79x = 1,276.37 × 412.35
  4. Step 4: Simplify right side
    850.79x = 526,309.11
  5. Step 5: Solve for x
    x = 526,309.11/850.79
  6. Step 6: Final answer
    x = 618.62

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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.