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Finding the Fourth Proportional to 849.97, 1,173.23 and 518.27

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Solution

The fourth proportional to 849.97, 1,173.23 and 518.27 is: 715.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.97 : 1,173.23 = 518.27 : x
  2. Step 2: Convert to fraction form
    849.97/1,173.23 = 518.27/x
  3. Step 3: Cross multiply
    849.97x = 1,173.23 × 518.27
  4. Step 4: Simplify right side
    849.97x = 608,056.21
  5. Step 5: Solve for x
    x = 608,056.21/849.97
  6. Step 6: Final answer
    x = 715.39

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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.