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Finding the Fourth Proportional to 1,468.26, 2,202.27 and 543.38

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Solution

The fourth proportional to 1,468.26, 2,202.27 and 543.38 is: 815.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.26 : 2,202.27 = 543.38 : x
  2. Step 2: Convert to fraction form
    1,468.26/2,202.27 = 543.38/x
  3. Step 3: Cross multiply
    1,468.26x = 2,202.27 × 543.38
  4. Step 4: Simplify right side
    1,468.26x = 1,196,663.97
  5. Step 5: Solve for x
    x = 1,196,663.97/1,468.26
  6. Step 6: Final answer
    x = 815.02

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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.