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Finding the Fourth Proportional to 1,220.92, 1,684.69 and 742.13

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Solution

The fourth proportional to 1,220.92, 1,684.69 and 742.13 is: 1,024.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.92 : 1,684.69 = 742.13 : x
  2. Step 2: Convert to fraction form
    1,220.92/1,684.69 = 742.13/x
  3. Step 3: Cross multiply
    1,220.92x = 1,684.69 × 742.13
  4. Step 4: Simplify right side
    1,220.92x = 1,250,258.99
  5. Step 5: Solve for x
    x = 1,250,258.99/1,220.92
  6. Step 6: Final answer
    x = 1,024.03

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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.