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Finding the Fourth Proportional to 908.51, 1,254.12 and 614.17

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Solution

The fourth proportional to 908.51, 1,254.12 and 614.17 is: 847.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.51 : 1,254.12 = 614.17 : x
  2. Step 2: Convert to fraction form
    908.51/1,254.12 = 614.17/x
  3. Step 3: Cross multiply
    908.51x = 1,254.12 × 614.17
  4. Step 4: Simplify right side
    908.51x = 770,245.25
  5. Step 5: Solve for x
    x = 770,245.25/908.51
  6. Step 6: Final answer
    x = 847.82

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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.