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Finding the Fourth Proportional to 1,225.97, 1,839.31 and 360.28

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Solution

The fourth proportional to 1,225.97, 1,839.31 and 360.28 is: 540.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.97 : 1,839.31 = 360.28 : x
  2. Step 2: Convert to fraction form
    1,225.97/1,839.31 = 360.28/x
  3. Step 3: Cross multiply
    1,225.97x = 1,839.31 × 360.28
  4. Step 4: Simplify right side
    1,225.97x = 662,668.01
  5. Step 5: Solve for x
    x = 662,668.01/1,225.97
  6. Step 6: Final answer
    x = 540.53

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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.