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Finding the Fourth Proportional to 774.14, 1,160.22 and 334.87

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Solution

The fourth proportional to 774.14, 1,160.22 and 334.87 is: 501.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.14 : 1,160.22 = 334.87 : x
  2. Step 2: Convert to fraction form
    774.14/1,160.22 = 334.87/x
  3. Step 3: Cross multiply
    774.14x = 1,160.22 × 334.87
  4. Step 4: Simplify right side
    774.14x = 388,519.97
  5. Step 5: Solve for x
    x = 388,519.97/774.14
  6. Step 6: Final answer
    x = 501.88

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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.