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Finding the Fourth Proportional to 908.29, 1,253.82 and 613

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Solution

The fourth proportional to 908.29, 1,253.82 and 613 is: 846.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.29 : 1,253.82 = 613 : x
  2. Step 2: Convert to fraction form
    908.29/1,253.82 = 613/x
  3. Step 3: Cross multiply
    908.29x = 1,253.82 × 613
  4. Step 4: Simplify right side
    908.29x = 768,591.66
  5. Step 5: Solve for x
    x = 768,591.66/908.29
  6. Step 6: Final answer
    x = 846.20

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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.