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Finding the Fourth Proportional to 1,201.75, 1,802.81 and 432.43

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Solution

The fourth proportional to 1,201.75, 1,802.81 and 432.43 is: 648.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.75 : 1,802.81 = 432.43 : x
  2. Step 2: Convert to fraction form
    1,201.75/1,802.81 = 432.43/x
  3. Step 3: Cross multiply
    1,201.75x = 1,802.81 × 432.43
  4. Step 4: Simplify right side
    1,201.75x = 779,589.13
  5. Step 5: Solve for x
    x = 779,589.13/1,201.75
  6. Step 6: Final answer
    x = 648.71

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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.