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Finding the Fourth Proportional to 1,281.89, 1,920.99 and 734.23

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Solution

The fourth proportional to 1,281.89, 1,920.99 and 734.23 is: 1,100.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.89 : 1,920.99 = 734.23 : x
  2. Step 2: Convert to fraction form
    1,281.89/1,920.99 = 734.23/x
  3. Step 3: Cross multiply
    1,281.89x = 1,920.99 × 734.23
  4. Step 4: Simplify right side
    1,281.89x = 1,410,443.69
  5. Step 5: Solve for x
    x = 1,410,443.69/1,281.89
  6. Step 6: Final answer
    x = 1,100.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.