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Finding the Fourth Proportional to 790.71, 1,185.94 and 270.71

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Solution

The fourth proportional to 790.71, 1,185.94 and 270.71 is: 406.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.71 : 1,185.94 = 270.71 : x
  2. Step 2: Convert to fraction form
    790.71/1,185.94 = 270.71/x
  3. Step 3: Cross multiply
    790.71x = 1,185.94 × 270.71
  4. Step 4: Simplify right side
    790.71x = 321,045.82
  5. Step 5: Solve for x
    x = 321,045.82/790.71
  6. Step 6: Final answer
    x = 406.02

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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.