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Finding the Fourth Proportional to 849.25, 1,171.97 and 500.14

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Solution

The fourth proportional to 849.25, 1,171.97 and 500.14 is: 690.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.25 : 1,171.97 = 500.14 : x
  2. Step 2: Convert to fraction form
    849.25/1,171.97 = 500.14/x
  3. Step 3: Cross multiply
    849.25x = 1,171.97 × 500.14
  4. Step 4: Simplify right side
    849.25x = 586,149.08
  5. Step 5: Solve for x
    x = 586,149.08/849.25
  6. Step 6: Final answer
    x = 690.20

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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.