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Finding the Fourth Proportional to 1,201.96, 1,802.52 and 432.28

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Solution

The fourth proportional to 1,201.96, 1,802.52 and 432.28 is: 648.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.96 : 1,802.52 = 432.28 : x
  2. Step 2: Convert to fraction form
    1,201.96/1,802.52 = 432.28/x
  3. Step 3: Cross multiply
    1,201.96x = 1,802.52 × 432.28
  4. Step 4: Simplify right side
    1,201.96x = 779,193.35
  5. Step 5: Solve for x
    x = 779,193.35/1,201.96
  6. Step 6: Final answer
    x = 648.27

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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.