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Finding the Fourth Proportional to 774.10, 1,161.31 and 357.43

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Solution

The fourth proportional to 774.10, 1,161.31 and 357.43 is: 536.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.10 : 1,161.31 = 357.43 : x
  2. Step 2: Convert to fraction form
    774.10/1,161.31 = 357.43/x
  3. Step 3: Cross multiply
    774.10x = 1,161.31 × 357.43
  4. Step 4: Simplify right side
    774.10x = 415,087.03
  5. Step 5: Solve for x
    x = 415,087.03/774.10
  6. Step 6: Final answer
    x = 536.22

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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.