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Finding the Fourth Proportional to 908.77, 1,254.14 and 711.94

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Solution

The fourth proportional to 908.77, 1,254.14 and 711.94 is: 982.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.77 : 1,254.14 = 711.94 : x
  2. Step 2: Convert to fraction form
    908.77/1,254.14 = 711.94/x
  3. Step 3: Cross multiply
    908.77x = 1,254.14 × 711.94
  4. Step 4: Simplify right side
    908.77x = 892,872.43
  5. Step 5: Solve for x
    x = 892,872.43/908.77
  6. Step 6: Final answer
    x = 982.51

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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.