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Finding the Fourth Proportional to 1,202.60, 1,801.91 and 739.40

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Solution

The fourth proportional to 1,202.60, 1,801.91 and 739.40 is: 1,107.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.60 : 1,801.91 = 739.40 : x
  2. Step 2: Convert to fraction form
    1,202.60/1,801.91 = 739.40/x
  3. Step 3: Cross multiply
    1,202.60x = 1,801.91 × 739.40
  4. Step 4: Simplify right side
    1,202.60x = 1,332,325.09
  5. Step 5: Solve for x
    x = 1,332,325.09/1,202.60
  6. Step 6: Final answer
    x = 1,107.87

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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.