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Finding the Fourth Proportional to 1,361.53, 2,041.89 and 495.64

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Solution

The fourth proportional to 1,361.53, 2,041.89 and 495.64 is: 743.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.53 : 2,041.89 = 495.64 : x
  2. Step 2: Convert to fraction form
    1,361.53/2,041.89 = 495.64/x
  3. Step 3: Cross multiply
    1,361.53x = 2,041.89 × 495.64
  4. Step 4: Simplify right side
    1,361.53x = 1,012,042.36
  5. Step 5: Solve for x
    x = 1,012,042.36/1,361.53
  6. Step 6: Final answer
    x = 743.31

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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.