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Finding the Fourth Proportional to 892.59, 1,338.88 and 276.13

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Solution

The fourth proportional to 892.59, 1,338.88 and 276.13 is: 414.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.59 : 1,338.88 = 276.13 : x
  2. Step 2: Convert to fraction form
    892.59/1,338.88 = 276.13/x
  3. Step 3: Cross multiply
    892.59x = 1,338.88 × 276.13
  4. Step 4: Simplify right side
    892.59x = 369,704.93
  5. Step 5: Solve for x
    x = 369,704.93/892.59
  6. Step 6: Final answer
    x = 414.19

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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.