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Finding the Fourth Proportional to 1,467.76, 2,202.50 and 543.96

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Solution

The fourth proportional to 1,467.76, 2,202.50 and 543.96 is: 816.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.76 : 2,202.50 = 543.96 : x
  2. Step 2: Convert to fraction form
    1,467.76/2,202.50 = 543.96/x
  3. Step 3: Cross multiply
    1,467.76x = 2,202.50 × 543.96
  4. Step 4: Simplify right side
    1,467.76x = 1,198,071.90
  5. Step 5: Solve for x
    x = 1,198,071.90/1,467.76
  6. Step 6: Final answer
    x = 816.26

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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.