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Finding the Fourth Proportional to 1,361.04, 2,041.55 and 495.35

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Solution

The fourth proportional to 1,361.04, 2,041.55 and 495.35 is: 743.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.04 : 2,041.55 = 495.35 : x
  2. Step 2: Convert to fraction form
    1,361.04/2,041.55 = 495.35/x
  3. Step 3: Cross multiply
    1,361.04x = 2,041.55 × 495.35
  4. Step 4: Simplify right side
    1,361.04x = 1,011,274.21
  5. Step 5: Solve for x
    x = 1,011,274.21/1,361.04
  6. Step 6: Final answer
    x = 743.02

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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.