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Finding the Fourth Proportional to 849.24, 1,172.07 and 517.68

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Solution

The fourth proportional to 849.24, 1,172.07 and 517.68 is: 714.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.24 : 1,172.07 = 517.68 : x
  2. Step 2: Convert to fraction form
    849.24/1,172.07 = 517.68/x
  3. Step 3: Cross multiply
    849.24x = 1,172.07 × 517.68
  4. Step 4: Simplify right side
    849.24x = 606,757.20
  5. Step 5: Solve for x
    x = 606,757.20/849.24
  6. Step 6: Final answer
    x = 714.47

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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.