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Finding the Fourth Proportional to 1,148.85, 1,578.56 and 938.52

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Solution

The fourth proportional to 1,148.85, 1,578.56 and 938.52 is: 1,289.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.85 : 1,578.56 = 938.52 : x
  2. Step 2: Convert to fraction form
    1,148.85/1,578.56 = 938.52/x
  3. Step 3: Cross multiply
    1,148.85x = 1,578.56 × 938.52
  4. Step 4: Simplify right side
    1,148.85x = 1,481,505.44
  5. Step 5: Solve for x
    x = 1,481,505.44/1,148.85
  6. Step 6: Final answer
    x = 1,289.56

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.