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Finding the Fourth Proportional to 1,220.07, 1,683.26 and 1,102.22

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Solution

The fourth proportional to 1,220.07, 1,683.26 and 1,102.22 is: 1,520.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.07 : 1,683.26 = 1,102.22 : x
  2. Step 2: Convert to fraction form
    1,220.07/1,683.26 = 1,102.22/x
  3. Step 3: Cross multiply
    1,220.07x = 1,683.26 × 1,102.22
  4. Step 4: Simplify right side
    1,220.07x = 1,855,319.36
  5. Step 5: Solve for x
    x = 1,855,319.36/1,220.07
  6. Step 6: Final answer
    x = 1,520.66

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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.