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Finding the Fourth Proportional to 1,147.88, 1,721.81 and 378.38

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Solution

The fourth proportional to 1,147.88, 1,721.81 and 378.38 is: 567.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.88 : 1,721.81 = 378.38 : x
  2. Step 2: Convert to fraction form
    1,147.88/1,721.81 = 378.38/x
  3. Step 3: Cross multiply
    1,147.88x = 1,721.81 × 378.38
  4. Step 4: Simplify right side
    1,147.88x = 651,490.80
  5. Step 5: Solve for x
    x = 651,490.80/1,147.88
  6. Step 6: Final answer
    x = 567.56

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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.