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Finding the Fourth Proportional to 1,282.58, 1,920.31 and 969.27

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Solution

The fourth proportional to 1,282.58, 1,920.31 and 969.27 is: 1,451.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.58 : 1,920.31 = 969.27 : x
  2. Step 2: Convert to fraction form
    1,282.58/1,920.31 = 969.27/x
  3. Step 3: Cross multiply
    1,282.58x = 1,920.31 × 969.27
  4. Step 4: Simplify right side
    1,282.58x = 1,861,289.25
  5. Step 5: Solve for x
    x = 1,861,289.25/1,282.58
  6. Step 6: Final answer
    x = 1,451.20

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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.