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Finding the Fourth Proportional to 908.82, 1,253.48 and 614.03

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Solution

The fourth proportional to 908.82, 1,253.48 and 614.03 is: 846.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.82 : 1,253.48 = 614.03 : x
  2. Step 2: Convert to fraction form
    908.82/1,253.48 = 614.03/x
  3. Step 3: Cross multiply
    908.82x = 1,253.48 × 614.03
  4. Step 4: Simplify right side
    908.82x = 769,672.04
  5. Step 5: Solve for x
    x = 769,672.04/908.82
  6. Step 6: Final answer
    x = 846.89

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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.