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Finding the Fourth Proportional to 1,201.25, 1,802.49 and 552.14

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Solution

The fourth proportional to 1,201.25, 1,802.49 and 552.14 is: 828.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.25 : 1,802.49 = 552.14 : x
  2. Step 2: Convert to fraction form
    1,201.25/1,802.49 = 552.14/x
  3. Step 3: Cross multiply
    1,201.25x = 1,802.49 × 552.14
  4. Step 4: Simplify right side
    1,201.25x = 995,226.83
  5. Step 5: Solve for x
    x = 995,226.83/1,201.25
  6. Step 6: Final answer
    x = 828.49

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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.