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Finding the Fourth Proportional to 849.82, 1,172.43 and 513.79

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Solution

The fourth proportional to 849.82, 1,172.43 and 513.79 is: 708.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.82 : 1,172.43 = 513.79 : x
  2. Step 2: Convert to fraction form
    849.82/1,172.43 = 513.79/x
  3. Step 3: Cross multiply
    849.82x = 1,172.43 × 513.79
  4. Step 4: Simplify right side
    849.82x = 602,387.92
  5. Step 5: Solve for x
    x = 602,387.92/849.82
  6. Step 6: Final answer
    x = 708.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.