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Finding the Fourth Proportional to 1,282.01, 1,769.39 and 1,223.57

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Solution

The fourth proportional to 1,282.01, 1,769.39 and 1,223.57 is: 1,688.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.01 : 1,769.39 = 1,223.57 : x
  2. Step 2: Convert to fraction form
    1,282.01/1,769.39 = 1,223.57/x
  3. Step 3: Cross multiply
    1,282.01x = 1,769.39 × 1,223.57
  4. Step 4: Simplify right side
    1,282.01x = 2,164,982.30
  5. Step 5: Solve for x
    x = 2,164,982.30/1,282.01
  6. Step 6: Final answer
    x = 1,688.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.