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Finding the Fourth Proportional to 849.26, 1,172.14 and 517.98

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Solution

The fourth proportional to 849.26, 1,172.14 and 517.98 is: 714.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.26 : 1,172.14 = 517.98 : x
  2. Step 2: Convert to fraction form
    849.26/1,172.14 = 517.98/x
  3. Step 3: Cross multiply
    849.26x = 1,172.14 × 517.98
  4. Step 4: Simplify right side
    849.26x = 607,145.08
  5. Step 5: Solve for x
    x = 607,145.08/849.26
  6. Step 6: Final answer
    x = 714.91

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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.