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Finding the Fourth Proportional to 1,611.03, 2,416.97 and 456.78

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Solution

The fourth proportional to 1,611.03, 2,416.97 and 456.78 is: 685.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.03 : 2,416.97 = 456.78 : x
  2. Step 2: Convert to fraction form
    1,611.03/2,416.97 = 456.78/x
  3. Step 3: Cross multiply
    1,611.03x = 2,416.97 × 456.78
  4. Step 4: Simplify right side
    1,611.03x = 1,104,023.56
  5. Step 5: Solve for x
    x = 1,104,023.56/1,611.03
  6. Step 6: Final answer
    x = 685.29

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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.