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Finding the Fourth Proportional to 774.80, 1,162.31 and 409.49

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Solution

The fourth proportional to 774.80, 1,162.31 and 409.49 is: 614.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.80 : 1,162.31 = 409.49 : x
  2. Step 2: Convert to fraction form
    774.80/1,162.31 = 409.49/x
  3. Step 3: Cross multiply
    774.80x = 1,162.31 × 409.49
  4. Step 4: Simplify right side
    774.80x = 475,946.46
  5. Step 5: Solve for x
    x = 475,946.46/774.80
  6. Step 6: Final answer
    x = 614.29

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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.