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Finding the Fourth Proportional to 849.92, 1,172.98 and 518.38

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Solution

The fourth proportional to 849.92, 1,172.98 and 518.38 is: 715.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.92 : 1,172.98 = 518.38 : x
  2. Step 2: Convert to fraction form
    849.92/1,172.98 = 518.38/x
  3. Step 3: Cross multiply
    849.92x = 1,172.98 × 518.38
  4. Step 4: Simplify right side
    849.92x = 608,049.37
  5. Step 5: Solve for x
    x = 608,049.37/849.92
  6. Step 6: Final answer
    x = 715.42

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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.