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Finding the Fourth Proportional to 849.34, 1,273.15 and 409.96

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Solution

The fourth proportional to 849.34, 1,273.15 and 409.96 is: 614.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.34 : 1,273.15 = 409.96 : x
  2. Step 2: Convert to fraction form
    849.34/1,273.15 = 409.96/x
  3. Step 3: Cross multiply
    849.34x = 1,273.15 × 409.96
  4. Step 4: Simplify right side
    849.34x = 521,940.57
  5. Step 5: Solve for x
    x = 521,940.57/849.34
  6. Step 6: Final answer
    x = 614.52

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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.