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Finding the Fourth Proportional to 1,600.10, 2,400.18 and 663.03

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Solution

The fourth proportional to 1,600.10, 2,400.18 and 663.03 is: 994.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.10 : 2,400.18 = 663.03 : x
  2. Step 2: Convert to fraction form
    1,600.10/2,400.18 = 663.03/x
  3. Step 3: Cross multiply
    1,600.10x = 2,400.18 × 663.03
  4. Step 4: Simplify right side
    1,600.10x = 1,591,388.03
  5. Step 5: Solve for x
    x = 1,591,388.03/1,600.10
  6. Step 6: Final answer
    x = 994.56

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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.