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Finding the Fourth Proportional to 851.79, 1,278.29 and 461.92

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Solution

The fourth proportional to 851.79, 1,278.29 and 461.92 is: 693.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.79 : 1,278.29 = 461.92 : x
  2. Step 2: Convert to fraction form
    851.79/1,278.29 = 461.92/x
  3. Step 3: Cross multiply
    851.79x = 1,278.29 × 461.92
  4. Step 4: Simplify right side
    851.79x = 590,467.72
  5. Step 5: Solve for x
    x = 590,467.72/851.79
  6. Step 6: Final answer
    x = 693.21

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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.