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Finding the Fourth Proportional to 1,446.01, 2,168.99 and 458.82

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Solution

The fourth proportional to 1,446.01, 2,168.99 and 458.82 is: 688.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.01 : 2,168.99 = 458.82 : x
  2. Step 2: Convert to fraction form
    1,446.01/2,168.99 = 458.82/x
  3. Step 3: Cross multiply
    1,446.01x = 2,168.99 × 458.82
  4. Step 4: Simplify right side
    1,446.01x = 995,175.42
  5. Step 5: Solve for x
    x = 995,175.42/1,446.01
  6. Step 6: Final answer
    x = 688.22

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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.