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Finding the Fourth Proportional to 1,221.65, 1,683.25 and 1,021.79

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Solution

The fourth proportional to 1,221.65, 1,683.25 and 1,021.79 is: 1,407.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.65 : 1,683.25 = 1,021.79 : x
  2. Step 2: Convert to fraction form
    1,221.65/1,683.25 = 1,021.79/x
  3. Step 3: Cross multiply
    1,221.65x = 1,683.25 × 1,021.79
  4. Step 4: Simplify right side
    1,221.65x = 1,719,928.02
  5. Step 5: Solve for x
    x = 1,719,928.02/1,221.65
  6. Step 6: Final answer
    x = 1,407.87

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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.