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Finding the Fourth Proportional to 908.99, 1,254.78 and 614.35

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Solution

The fourth proportional to 908.99, 1,254.78 and 614.35 is: 848.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.99 : 1,254.78 = 614.35 : x
  2. Step 2: Convert to fraction form
    908.99/1,254.78 = 614.35/x
  3. Step 3: Cross multiply
    908.99x = 1,254.78 × 614.35
  4. Step 4: Simplify right side
    908.99x = 770,874.09
  5. Step 5: Solve for x
    x = 770,874.09/908.99
  6. Step 6: Final answer
    x = 848.06

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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.