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Finding the Fourth Proportional to 908.60, 1,252.78 and 614.52

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Solution

The fourth proportional to 908.60, 1,252.78 and 614.52 is: 847.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.60 : 1,252.78 = 614.52 : x
  2. Step 2: Convert to fraction form
    908.60/1,252.78 = 614.52/x
  3. Step 3: Cross multiply
    908.60x = 1,252.78 × 614.52
  4. Step 4: Simplify right side
    908.60x = 769,858.37
  5. Step 5: Solve for x
    x = 769,858.37/908.60
  6. Step 6: Final answer
    x = 847.30

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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.