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Finding the Fourth Proportional to 914.20, 1,360.97 and 908.80

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Solution

The fourth proportional to 914.20, 1,360.97 and 908.80 is: 1,352.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.20 : 1,360.97 = 908.80 : x
  2. Step 2: Convert to fraction form
    914.20/1,360.97 = 908.80/x
  3. Step 3: Cross multiply
    914.20x = 1,360.97 × 908.80
  4. Step 4: Simplify right side
    914.20x = 1,236,849.54
  5. Step 5: Solve for x
    x = 1,236,849.54/914.20
  6. Step 6: Final answer
    x = 1,352.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.