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Finding the Fourth Proportional to 1,220.29, 1,683.98 and 660.75

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Solution

The fourth proportional to 1,220.29, 1,683.98 and 660.75 is: 911.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.29 : 1,683.98 = 660.75 : x
  2. Step 2: Convert to fraction form
    1,220.29/1,683.98 = 660.75/x
  3. Step 3: Cross multiply
    1,220.29x = 1,683.98 × 660.75
  4. Step 4: Simplify right side
    1,220.29x = 1,112,690.26
  5. Step 5: Solve for x
    x = 1,112,690.26/1,220.29
  6. Step 6: Final answer
    x = 911.83

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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.