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Finding the Fourth Proportional to 1,022.73, 1,535.46 and 936.77

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Solution

The fourth proportional to 1,022.73, 1,535.46 and 936.77 is: 1,406.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.73 : 1,535.46 = 936.77 : x
  2. Step 2: Convert to fraction form
    1,022.73/1,535.46 = 936.77/x
  3. Step 3: Cross multiply
    1,022.73x = 1,535.46 × 936.77
  4. Step 4: Simplify right side
    1,022.73x = 1,438,361.67
  5. Step 5: Solve for x
    x = 1,438,361.67/1,022.73
  6. Step 6: Final answer
    x = 1,406.40

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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.