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Finding the Fourth Proportional to 1,072.48, 1,476.57 and 934.42

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Solution

The fourth proportional to 1,072.48, 1,476.57 and 934.42 is: 1,286.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.48 : 1,476.57 = 934.42 : x
  2. Step 2: Convert to fraction form
    1,072.48/1,476.57 = 934.42/x
  3. Step 3: Cross multiply
    1,072.48x = 1,476.57 × 934.42
  4. Step 4: Simplify right side
    1,072.48x = 1,379,736.54
  5. Step 5: Solve for x
    x = 1,379,736.54/1,072.48
  6. Step 6: Final answer
    x = 1,286.49

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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.