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Finding the Fourth Proportional to 908.44, 1,366.14 and 723.76

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Solution

The fourth proportional to 908.44, 1,366.14 and 723.76 is: 1,088.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.44 : 1,366.14 = 723.76 : x
  2. Step 2: Convert to fraction form
    908.44/1,366.14 = 723.76/x
  3. Step 3: Cross multiply
    908.44x = 1,366.14 × 723.76
  4. Step 4: Simplify right side
    908.44x = 988,757.49
  5. Step 5: Solve for x
    x = 988,757.49/908.44
  6. Step 6: Final answer
    x = 1,088.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.