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Finding the Fourth Proportional to 1,335.20, 2,002.55 and 361.07

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Solution

The fourth proportional to 1,335.20, 2,002.55 and 361.07 is: 541.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.20 : 2,002.55 = 361.07 : x
  2. Step 2: Convert to fraction form
    1,335.20/2,002.55 = 361.07/x
  3. Step 3: Cross multiply
    1,335.20x = 2,002.55 × 361.07
  4. Step 4: Simplify right side
    1,335.20x = 723,060.73
  5. Step 5: Solve for x
    x = 723,060.73/1,335.20
  6. Step 6: Final answer
    x = 541.54

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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.