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Finding the Fourth Proportional to 1,334.88, 2,002.09 and 360.75

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Solution

The fourth proportional to 1,334.88, 2,002.09 and 360.75 is: 541.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.88 : 2,002.09 = 360.75 : x
  2. Step 2: Convert to fraction form
    1,334.88/2,002.09 = 360.75/x
  3. Step 3: Cross multiply
    1,334.88x = 2,002.09 × 360.75
  4. Step 4: Simplify right side
    1,334.88x = 722,253.97
  5. Step 5: Solve for x
    x = 722,253.97/1,334.88
  6. Step 6: Final answer
    x = 541.06

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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.