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Finding the Fourth Proportional to 1,335.05, 2,002.67 and 361.14

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Solution

The fourth proportional to 1,335.05, 2,002.67 and 361.14 is: 541.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.05 : 2,002.67 = 361.14 : x
  2. Step 2: Convert to fraction form
    1,335.05/2,002.67 = 361.14/x
  3. Step 3: Cross multiply
    1,335.05x = 2,002.67 × 361.14
  4. Step 4: Simplify right side
    1,335.05x = 723,244.24
  5. Step 5: Solve for x
    x = 723,244.24/1,335.05
  6. Step 6: Final answer
    x = 541.74

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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.