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Finding the Fourth Proportional to 851.01, 1,276.51 and 295.71

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Solution

The fourth proportional to 851.01, 1,276.51 and 295.71 is: 443.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.01 : 1,276.51 = 295.71 : x
  2. Step 2: Convert to fraction form
    851.01/1,276.51 = 295.71/x
  3. Step 3: Cross multiply
    851.01x = 1,276.51 × 295.71
  4. Step 4: Simplify right side
    851.01x = 377,476.77
  5. Step 5: Solve for x
    x = 377,476.77/851.01
  6. Step 6: Final answer
    x = 443.56

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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.