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Finding the Fourth Proportional to 1,335.74, 2,003.60 and 361.84

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Solution

The fourth proportional to 1,335.74, 2,003.60 and 361.84 is: 542.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.74 : 2,003.60 = 361.84 : x
  2. Step 2: Convert to fraction form
    1,335.74/2,003.60 = 361.84/x
  3. Step 3: Cross multiply
    1,335.74x = 2,003.60 × 361.84
  4. Step 4: Simplify right side
    1,335.74x = 724,976.30
  5. Step 5: Solve for x
    x = 724,976.30/1,335.74
  6. Step 6: Final answer
    x = 542.75

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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.