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Finding the Fourth Proportional to 1,334.28, 2,001.24 and 360.46

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Solution

The fourth proportional to 1,334.28, 2,001.24 and 360.46 is: 540.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.28 : 2,001.24 = 360.46 : x
  2. Step 2: Convert to fraction form
    1,334.28/2,001.24 = 360.46/x
  3. Step 3: Cross multiply
    1,334.28x = 2,001.24 × 360.46
  4. Step 4: Simplify right side
    1,334.28x = 721,366.97
  5. Step 5: Solve for x
    x = 721,366.97/1,334.28
  6. Step 6: Final answer
    x = 540.64

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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.