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Finding the Fourth Proportional to 1,033.70, 1,550.81 and 485.24

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Solution

The fourth proportional to 1,033.70, 1,550.81 and 485.24 is: 727.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.70 : 1,550.81 = 485.24 : x
  2. Step 2: Convert to fraction form
    1,033.70/1,550.81 = 485.24/x
  3. Step 3: Cross multiply
    1,033.70x = 1,550.81 × 485.24
  4. Step 4: Simplify right side
    1,033.70x = 752,515.04
  5. Step 5: Solve for x
    x = 752,515.04/1,033.70
  6. Step 6: Final answer
    x = 727.98

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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.