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Finding the Fourth Proportional to 1,361.64, 2,042.52 and 495.84

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Solution

The fourth proportional to 1,361.64, 2,042.52 and 495.84 is: 743.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.64 : 2,042.52 = 495.84 : x
  2. Step 2: Convert to fraction form
    1,361.64/2,042.52 = 495.84/x
  3. Step 3: Cross multiply
    1,361.64x = 2,042.52 × 495.84
  4. Step 4: Simplify right side
    1,361.64x = 1,012,763.12
  5. Step 5: Solve for x
    x = 1,012,763.12/1,361.64
  6. Step 6: Final answer
    x = 743.78

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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.