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Finding the Fourth Proportional to 1,467.62, 2,202.54 and 543.74

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Solution

The fourth proportional to 1,467.62, 2,202.54 and 543.74 is: 816.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.62 : 2,202.54 = 543.74 : x
  2. Step 2: Convert to fraction form
    1,467.62/2,202.54 = 543.74/x
  3. Step 3: Cross multiply
    1,467.62x = 2,202.54 × 543.74
  4. Step 4: Simplify right side
    1,467.62x = 1,197,609.10
  5. Step 5: Solve for x
    x = 1,197,609.10/1,467.62
  6. Step 6: Final answer
    x = 816.02

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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.