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Finding the Fourth Proportional to 908.19, 1,253.07 and 614.25

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Solution

The fourth proportional to 908.19, 1,253.07 and 614.25 is: 847.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.19 : 1,253.07 = 614.25 : x
  2. Step 2: Convert to fraction form
    908.19/1,253.07 = 614.25/x
  3. Step 3: Cross multiply
    908.19x = 1,253.07 × 614.25
  4. Step 4: Simplify right side
    908.19x = 769,698.25
  5. Step 5: Solve for x
    x = 769,698.25/908.19
  6. Step 6: Final answer
    x = 847.51

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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.