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Finding the Fourth Proportional to 1,147.94, 1,721.89 and 282.25

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Solution

The fourth proportional to 1,147.94, 1,721.89 and 282.25 is: 423.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.94 : 1,721.89 = 282.25 : x
  2. Step 2: Convert to fraction form
    1,147.94/1,721.89 = 282.25/x
  3. Step 3: Cross multiply
    1,147.94x = 1,721.89 × 282.25
  4. Step 4: Simplify right side
    1,147.94x = 486,005.96
  5. Step 5: Solve for x
    x = 486,005.96/1,147.94
  6. Step 6: Final answer
    x = 423.37

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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.