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Finding the Fourth Proportional to 1,302.14, 1,793.94 and 908.48

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Solution

The fourth proportional to 1,302.14, 1,793.94 and 908.48 is: 1,251.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.14 : 1,793.94 = 908.48 : x
  2. Step 2: Convert to fraction form
    1,302.14/1,793.94 = 908.48/x
  3. Step 3: Cross multiply
    1,302.14x = 1,793.94 × 908.48
  4. Step 4: Simplify right side
    1,302.14x = 1,629,758.61
  5. Step 5: Solve for x
    x = 1,629,758.61/1,302.14
  6. Step 6: Final answer
    x = 1,251.60

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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.