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Finding the Fourth Proportional to 851.93, 1,278.27 and 412.94

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Solution

The fourth proportional to 851.93, 1,278.27 and 412.94 is: 619.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.93 : 1,278.27 = 412.94 : x
  2. Step 2: Convert to fraction form
    851.93/1,278.27 = 412.94/x
  3. Step 3: Cross multiply
    851.93x = 1,278.27 × 412.94
  4. Step 4: Simplify right side
    851.93x = 527,842.42
  5. Step 5: Solve for x
    x = 527,842.42/851.93
  6. Step 6: Final answer
    x = 619.59

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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.