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Finding the Fourth Proportional to 1,467.78, 2,201.56 and 543.16

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Solution

The fourth proportional to 1,467.78, 2,201.56 and 543.16 is: 814.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.78 : 2,201.56 = 543.16 : x
  2. Step 2: Convert to fraction form
    1,467.78/2,201.56 = 543.16/x
  3. Step 3: Cross multiply
    1,467.78x = 2,201.56 × 543.16
  4. Step 4: Simplify right side
    1,467.78x = 1,195,799.33
  5. Step 5: Solve for x
    x = 1,195,799.33/1,467.78
  6. Step 6: Final answer
    x = 814.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.