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Finding the Fourth Proportional to 1,335.43, 2,002.83 and 361.54

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Solution

The fourth proportional to 1,335.43, 2,002.83 and 361.54 is: 542.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.43 : 2,002.83 = 361.54 : x
  2. Step 2: Convert to fraction form
    1,335.43/2,002.83 = 361.54/x
  3. Step 3: Cross multiply
    1,335.43x = 2,002.83 × 361.54
  4. Step 4: Simplify right side
    1,335.43x = 724,103.16
  5. Step 5: Solve for x
    x = 724,103.16/1,335.43
  6. Step 6: Final answer
    x = 542.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.