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Finding the Fourth Proportional to 1,350.42, 2,022.84 and 654.96

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Solution

The fourth proportional to 1,350.42, 2,022.84 and 654.96 is: 981.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.42 : 2,022.84 = 654.96 : x
  2. Step 2: Convert to fraction form
    1,350.42/2,022.84 = 654.96/x
  3. Step 3: Cross multiply
    1,350.42x = 2,022.84 × 654.96
  4. Step 4: Simplify right side
    1,350.42x = 1,324,879.29
  5. Step 5: Solve for x
    x = 1,324,879.29/1,350.42
  6. Step 6: Final answer
    x = 981.09

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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.