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Finding the Fourth Proportional to 1,356.81, 2,033.47 and 739.20

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Solution

The fourth proportional to 1,356.81, 2,033.47 and 739.20 is: 1,107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.81 : 2,033.47 = 739.20 : x
  2. Step 2: Convert to fraction form
    1,356.81/2,033.47 = 739.20/x
  3. Step 3: Cross multiply
    1,356.81x = 2,033.47 × 739.20
  4. Step 4: Simplify right side
    1,356.81x = 1,503,141.02
  5. Step 5: Solve for x
    x = 1,503,141.02/1,356.81
  6. Step 6: Final answer
    x = 1,107.85

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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.