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Finding the Fourth Proportional to 1,467.71, 2,202.18 and 543.04

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Solution

The fourth proportional to 1,467.71, 2,202.18 and 543.04 is: 814.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.71 : 2,202.18 = 543.04 : x
  2. Step 2: Convert to fraction form
    1,467.71/2,202.18 = 543.04/x
  3. Step 3: Cross multiply
    1,467.71x = 2,202.18 × 543.04
  4. Step 4: Simplify right side
    1,467.71x = 1,195,860.82
  5. Step 5: Solve for x
    x = 1,195,860.82/1,467.71
  6. Step 6: Final answer
    x = 814.78

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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.