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Finding the Fourth Proportional to 1,335.14, 2,002.64 and 361.26

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Solution

The fourth proportional to 1,335.14, 2,002.64 and 361.26 is: 541.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.14 : 2,002.64 = 361.26 : x
  2. Step 2: Convert to fraction form
    1,335.14/2,002.64 = 361.26/x
  3. Step 3: Cross multiply
    1,335.14x = 2,002.64 × 361.26
  4. Step 4: Simplify right side
    1,335.14x = 723,473.73
  5. Step 5: Solve for x
    x = 723,473.73/1,335.14
  6. Step 6: Final answer
    x = 541.87

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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.