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Finding the Fourth Proportional to 908.91, 1,253.61 and 614.07

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Solution

The fourth proportional to 908.91, 1,253.61 and 614.07 is: 846.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.91 : 1,253.61 = 614.07 : x
  2. Step 2: Convert to fraction form
    908.91/1,253.61 = 614.07/x
  3. Step 3: Cross multiply
    908.91x = 1,253.61 × 614.07
  4. Step 4: Simplify right side
    908.91x = 769,804.29
  5. Step 5: Solve for x
    x = 769,804.29/908.91
  6. Step 6: Final answer
    x = 846.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.