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Finding the Fourth Proportional to 851.68, 1,277.92 and 419.04

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Solution

The fourth proportional to 851.68, 1,277.92 and 419.04 is: 628.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.68 : 1,277.92 = 419.04 : x
  2. Step 2: Convert to fraction form
    851.68/1,277.92 = 419.04/x
  3. Step 3: Cross multiply
    851.68x = 1,277.92 × 419.04
  4. Step 4: Simplify right side
    851.68x = 535,499.60
  5. Step 5: Solve for x
    x = 535,499.60/851.68
  6. Step 6: Final answer
    x = 628.76

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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.